876478464 has 108 divisors (see below), whose sum is σ = 2535447096. Its totient is φ = 291766272.

The previous prime is 876478433. The next prime is 876478481. The reversal of 876478464 is 464874678.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 876478464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1179277 + ... + 1180019.

It is an arithmetic number, because the mean of its divisors is an integer number (23476362).

Almost surely, 2^876478464 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 876478464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267723548).

876478464 is an abundant number, since it is smaller than the sum of its proper divisors (1658968632).

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

876478464 is an frugal number, since it uses more digits than its factorization.

876478464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 748 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The square root of 876478464 is about 29605.3789707208. The cubic root of 876478464 is about 957.0039929997.

The spelling of 876478464 in words is "eight hundred seventy-six million, four hundred seventy-eight thousand, four hundred sixty-four".