879733456 has 60 divisors (see below), whose sum is σ = 2001487968. Its totient is φ = 373469376.

The previous prime is 879733453. The next prime is 879733457. The reversal of 879733456 is 654337978.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (879733453) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78645 + ... + 89131.

Almost surely, 2^879733456 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 879733456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000743984).

879733456 is an abundant number, since it is smaller than the sum of its proper divisors (1121754512).

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

879733456 is a wasteful number, since it uses less digits than its factorization.

879733456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10616 (or 10603 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 52.

The square root of 879733456 is about 29660.3010099358. The cubic root of 879733456 is about 958.1872098081.

Subtracting from 879733456 its product of digits (3810240), we obtain a square (875923216 = 29596²).

The spelling of 879733456 in words is "eight hundred seventy-nine million, seven hundred thirty-three thousand, four hundred fifty-six".