76477288680 has 384 divisors, whose sum is σ = 284068905120. Its totient is φ = 17677025280.

The previous prime is 76477288669. The next prime is 76477288739. The reversal of 76477288680 is 8688277467.

76477288680 is a `hidden beast` number, since 7 + 6 + 477 + 2 + 8 + 86 + 80 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 15922906596 + 60554382084 = 126186^2 + 246078^2 .

It is a super-2 number, since 2×76477288680² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47178270 + ... + 47179890.

Almost surely, 2^76477288680 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 76477288680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142034452560).

76477288680 is an abundant number, since it is smaller than the sum of its proper divisors (207591616440).

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

76477288680 is a wasteful number, since it uses less digits than its factorization.

76477288680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2261 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 50577408, while the sum is 63.

The spelling of 76477288680 in words is "seventy-six billion, four hundred seventy-seven million, two hundred eighty-eight thousand, six hundred eighty".