76481887680 has 168 divisors, whose sum is σ = 286981020144. Its totient is φ = 18541056000.

The previous prime is 76481887667. The next prime is 76481887681. The reversal of 76481887680 is 8678818467.

76481887680 is a `hidden beast` number, since 7 + 6 + 481 + 8 + 8 + 76 + 80 = 666.

It is a super-2 number, since 2×76481887680² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76481887681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1175421 + ... + 1238780.

It is an arithmetic number, because the mean of its divisors is an integer number (1708220358).

Almost surely, 2^76481887680 is an apocalyptic number.

It is an amenable number.

76481887680 is an abundant number, since it is smaller than the sum of its proper divisors (210499132464).

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

76481887680 is a wasteful number, since it uses less digits than its factorization.

76481887680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2414235 (or 2414222 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 63.

The spelling of 76481887680 in words is "seventy-six billion, four hundred eighty-one million, eight hundred eighty-seven thousand, six hundred eighty".