78892832 has 48 divisors (see below), whose sum is σ = 159744312. Its totient is φ = 38338560.

The previous prime is 78892823. The next prime is 78892873. The reversal of 78892832 is 23829887.

It can be written as a sum of positive squares in 4 ways, for example, as 72522256 + 6370576 = 8516^2 + 2524^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 306848 + ... + 307104.

Almost surely, 2^78892832 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 78892832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79872156).

78892832 is an abundant number, since it is smaller than the sum of its proper divisors (80851480).

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

78892832 is a wasteful number, since it uses less digits than its factorization.

78892832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 493 counting only the distinct ones).

The product of its digits is 387072, while the sum is 47.

The square root of 78892832 is about 8882.1637003604. The cubic root of 78892832 is about 428.8899292524.

The spelling of 78892832 in words is "seventy-eight million, eight hundred ninety-two thousand, eight hundred thirty-two".