77621802086400 has 1248 divisors, whose sum is σ = 302194429152000. Its totient is φ = 17330208768000.

The previous prime is 77621802086377. The next prime is 77621802086473. The reversal of 77621802086400 is 468020812677.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21920868630 + ... + 21920872170.

Almost surely, 2^{77621802086400} 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 77621802086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151097214576000).

77621802086400 is an abundant number, since it is smaller than the sum of its proper divisors (224572627065600).

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

77621802086400 is a wasteful number, since it uses less digits than its factorization.

77621802086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4101 (or 4074 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The spelling of 77621802086400 in words is "seventy-seven trillion, six hundred twenty-one billion, eight hundred two million, eighty-six thousand, four hundred".