77945310432 has 72 divisors (see below), whose sum is σ = 241807620600. Its totient is φ = 23619790080.

The previous prime is 77945310427. The next prime is 77945310433. The reversal of 77945310432 is 23401354977.

77945310432 is a `hidden beast` number, since 7 + 79 + 4 + 531 + 0 + 43 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77945310433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12298807 + ... + 12305142.

It is an arithmetic number, because the mean of its divisors is an integer number (3358439175).

Almost surely, 2^77945310432 is an apocalyptic number.

77945310432 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

77945310432 is an abundant number, since it is smaller than the sum of its proper divisors (163862310168).

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

77945310432 is a wasteful number, since it uses less digits than its factorization.

77945310432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24603976 (or 24603965 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 77945310432 in words is "seventy-seven billion, nine hundred forty-five million, three hundred ten thousand, four hundred thirty-two".