77671931904 has 504 divisors, whose sum is σ = 272987963040. Its totient is φ = 20787757056.

The previous prime is 77671931893. The next prime is 77671931951. The reversal of 77671931904 is 40913917677.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×77671931904² (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 35 ways as a sum of consecutive naturals, for example, 872718292 + ... + 872718380.

Almost surely, 2^77671931904 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 77671931904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136493981520).

77671931904 is an abundant number, since it is smaller than the sum of its proper divisors (195316031136).

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

77671931904 is an equidigital number, since it uses as much as digits as its factorization.

77671931904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 54.

The spelling of 77671931904 in words is "seventy-seven billion, six hundred seventy-one million, nine hundred thirty-one thousand, nine hundred four".