77910912 has 48 divisors (see below), whose sum is σ = 224200080. Its totient is φ = 25969920.

The previous prime is 77910841. The next prime is 77910919. The reversal of 77910912 is 21901977.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×77910912² = 12140220417343488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77910919) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32664 + ... + 34967.

It is an arithmetic number, because the mean of its divisors is an integer number (4670835).

Almost surely, 2^77910912 is an apocalyptic number.

77910912 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

77910912 is an abundant number, since it is smaller than the sum of its proper divisors (146289168).

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

77910912 is a wasteful number, since it uses less digits than its factorization.

77910912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67651 (or 67636 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

The square root of 77910912 is about 8826.7158105379. The cubic root of 77910912 is about 427.1031384150.

The spelling of 77910912 in words is "seventy-seven million, nine hundred ten thousand, nine hundred twelve".