77914032 has 80 divisors (see below), whose sum is σ = 233532672. Its totient is φ = 21922560.

The previous prime is 77914027. The next prime is 77914033. The reversal of 77914032 is 23041977.

It is a junction number, because it is equal to n+sod(n) for n = 77913984 and 77914002.

It is not an unprimeable number, because it can be changed into a prime (77914033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20782 + ... + 24242.

Almost surely, 2^77914032 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 77914032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116766336).

77914032 is an abundant number, since it is smaller than the sum of its proper divisors (155618640).

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

77914032 is a wasteful number, since it uses less digits than its factorization.

77914032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3546 (or 3540 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 77914032 is about 8826.8925449447. The cubic root of 77914032 is about 427.1088395591.

The spelling of 77914032 in words is "seventy-seven million, nine hundred fourteen thousand, thirty-two".