77644032 has 144 divisors (see below), whose sum is σ = 231053760. Its totient is φ = 23003136.

The previous prime is 77644027. The next prime is 77644043. The reversal of 77644032 is 23044677.

It is a junction number, because it is equal to n+sod(n) for n = 77643984 and 77644002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247908 + ... + 248220.

It is an arithmetic number, because the mean of its divisors is an integer number (1604540).

Almost surely, 2^77644032 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 77644032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115526880).

77644032 is an abundant number, since it is smaller than the sum of its proper divisors (153409728).

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

77644032 is a wasteful number, since it uses less digits than its factorization.

77644032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 77644032 is about 8811.5851014446. The cubic root of 77644032 is about 426.6149069156.

The spelling of 77644032 in words is "seventy-seven million, six hundred forty-four thousand, thirty-two".