76895360 has 64 divisors (see below), whose sum is σ = 185380920. Its totient is φ = 30498816.

The previous prime is 76895347. The next prime is 76895383. The reversal of 76895360 is 6359867.

It is a Cunningham number, because it is equal to 8769²-1.

It can be written as a sum of positive squares in 4 ways, for example, as 72863296 + 4032064 = 8536^2 + 2008^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87242 + ... + 88118.

Almost surely, 2^76895360 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 76895360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92690460).

76895360 is an abundant number, since it is smaller than the sum of its proper divisors (108485560).

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

76895360 is a wasteful number, since it uses less digits than its factorization.

76895360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 44.

The square root of 76895360 is about 8768.9999429810. Note that the first 4 decimals coincide. The cubic root of 76895360 is about 425.2392839379.

The spelling of 76895360 in words is "seventy-six million, eight hundred ninety-five thousand, three hundred sixty".