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76818320 = 245960229
BaseRepresentation
bin1001001010000…
…10011110010000
312100112202220222
410211002132100
5124131141240
611342252212
71621642055
oct445023620
9170482828
1076818320
113a3a8817
1221887068
1312bb8137
14a2b902c
156b25eb5
hex4942790

76818320 has 20 divisors (see below), whose sum is σ = 178602780. Its totient is φ = 30727296.

The previous prime is 76818317. The next prime is 76818323. The reversal of 76818320 is 2381867.

It is an interprime number because it is at equal distance from previous prime (76818317) and next prime (76818323).

It can be written as a sum of positive squares in 2 ways, for example, as 54878464 + 21939856 = 7408^2 + 4684^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (76818323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 480035 + ... + 480194.

It is an arithmetic number, because the mean of its divisors is an integer number (8930139).

Almost surely, 276818320 is an apocalyptic number.

It is an amenable number.

76818320 is an abundant number, since it is smaller than the sum of its proper divisors (101784460).

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

76818320 is a wasteful number, since it uses less digits than its factorization.

76818320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960242 (or 960236 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 76818320 is about 8764.6060949708. The cubic root of 76818320 is about 425.0972234321.

The spelling of 76818320 in words is "seventy-six million, eight hundred eighteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 960229 1920458 3840916 4801145 7681832 9602290 15363664 19204580 38409160 76818320