77708832 has 48 divisors (see below), whose sum is σ = 205208640. Its totient is φ = 25747712.

The previous prime is 77708809. The next prime is 77708849. The reversal of 77708832 is 23880777.

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

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14269 + ... + 18947.

It is an arithmetic number, because the mean of its divisors is an integer number (4275180).

Almost surely, 2^77708832 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 77708832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102604320).

77708832 is an abundant number, since it is smaller than the sum of its proper divisors (127499808).

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

77708832 is a wasteful number, since it uses less digits than its factorization.

77708832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4865 (or 4857 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 42.

The square root of 77708832 is about 8815.2613120656. The cubic root of 77708832 is about 426.7335550516.

The spelling of 77708832 in words is "seventy-seven million, seven hundred eight thousand, eight hundred thirty-two".