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76999680 = 210335557
BaseRepresentation
bin1001001011011…
…10110000000000
312100212222201000
410211232300000
5124202442210
611350212000
71623325602
oct445566000
9170788630
1076999680
113a511aaa
1221954000
1312c4c854
14a325172
156b5eac0
hex496ec00

76999680 has 176 divisors, whose sum is σ = 274134240. Its totient is φ = 20496384.

The previous prime is 76999679. The next prime is 76999687. The reversal of 76999680 is 8699967.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (76999687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137962 + ... + 138518.

Almost surely, 276999680 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 76999680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137067120).

76999680 is an abundant number, since it is smaller than the sum of its proper divisors (197134560).

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

76999680 is a wasteful number, since it uses less digits than its factorization.

76999680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 76999680 is about 8774.9461536809. The cubic root of 76999680 is about 425.4314971675.

The spelling of 76999680 in words is "seventy-six million, nine hundred ninety-nine thousand, six hundred eighty".