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76840560 = 243251941137
BaseRepresentation
bin1001001010001…
…11111001110000
312100120220102200
410211013321300
5124132344220
611342543200
71622063646
oct445077160
9170526380
1076840560
113a4134a5
1221897b00
1312bc52b4
14a2c3196
156b2c890
hex4947e70

76840560 has 240 divisors, whose sum is σ = 280294560. Its totient is φ = 18800640.

The previous prime is 76840549. The next prime is 76840567. The reversal of 76840560 is 6504867.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×768405602 = 11808943322227200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76840567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 560812 + ... + 560948.

It is an arithmetic number, because the mean of its divisors is an integer number (1167894).

Almost surely, 276840560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76840560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140147280).

76840560 is an abundant number, since it is smaller than the sum of its proper divisors (203454000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76840560 is a wasteful number, since it uses less digits than its factorization.

76840560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 76840560 is about 8765.8747424316. The cubic root of 76840560 is about 425.1382433782.

It can be divided in two parts, 768 and 40560, that added together give a triangular number (41328 = T287).

The spelling of 76840560 in words is "seventy-six million, eight hundred forty thousand, five hundred sixty".