77576032 has 48 divisors (see below), whose sum is σ = 164520720. Its totient is φ = 35872768.

The previous prime is 77576029. The next prime is 77576053. The reversal of 77576032 is 23067577.

It is a junction number, because it is equal to n+sod(n) for n = 77575982 and 77576000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30888 + ... + 33304.

It is an arithmetic number, because the mean of its divisors is an integer number (3427515).

Almost surely, 2^77576032 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 77576032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82260360).

77576032 is an abundant number, since it is smaller than the sum of its proper divisors (86944688).

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

77576032 is a wasteful number, since it uses less digits than its factorization.

77576032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2503 (or 2495 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 37.

The square root of 77576032 is about 8807.7256996344. The cubic root of 77576032 is about 426.4903286066.

The spelling of 77576032 in words is "seventy-seven million, five hundred seventy-six thousand, thirty-two".