77974402176 has 576 divisors, whose sum is σ = 267030410400. Its totient is φ = 21598617600.

The previous prime is 77974402159. The next prime is 77974402273. The reversal of 77974402176 is 67120447977.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 231377880 + ... + 231378216.

Almost surely, 2^77974402176 is an apocalyptic number.

77974402176 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77974402176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133515205200).

77974402176 is an abundant number, since it is smaller than the sum of its proper divisors (189056008224).

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

77974402176 is a wasteful number, since it uses less digits than its factorization.

77974402176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 4148928, while the sum is 54.

The spelling of 77974402176 in words is "seventy-seven billion, nine hundred seventy-four million, four hundred two thousand, one hundred seventy-six".