76948676800 has 42 divisors (see below), whose sum is σ = 189341841788. Its totient is φ = 30779470080.

The previous prime is 76948676759. The next prime is 76948676837. The reversal of 76948676800 is 867684967.

It is a super-2 number, since 2×76948676800² (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 5 ways as a sum of consecutive naturals, for example, 24044862 + ... + 24048061.

Almost surely, 2^76948676800 is an apocalyptic number.

It is an amenable number.

76948676800 is an abundant number, since it is smaller than the sum of its proper divisors (112393164988).

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

76948676800 is a wasteful number, since it uses less digits than its factorization.

76948676800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48092945 (or 48092930 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 61.

The spelling of 76948676800 in words is "seventy-six billion, nine hundred forty-eight million, six hundred seventy-six thousand, eight hundred".