77356032 has 132 divisors (see below), whose sum is σ = 224760600. Its totient is φ = 23642112.

The previous prime is 77356009. The next prime is 77356063. The reversal of 77356032 is 23065377.

It is a junction number, because it is equal to n+sod(n) for n = 77355984 and 77356002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 519094 + ... + 519242.

Almost surely, 2^77356032 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 77356032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112380300).

77356032 is an abundant number, since it is smaller than the sum of its proper divisors (147404568).

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

77356032 is a wasteful number, since it uses less digits than its factorization.

77356032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 33.

The square root of 77356032 is about 8795.2277969362. The cubic root of 77356032 is about 426.0867816766.

The spelling of 77356032 in words is "seventy-seven million, three hundred fifty-six thousand, thirty-two".