876579840 has 352 divisors, whose sum is σ = 3307296960. Its totient is φ = 219414528.

The previous prime is 876579833. The next prime is 876579871. The reversal of 876579840 is 48975678.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2349894 + ... + 2350266.

It is an arithmetic number, because the mean of its divisors is an integer number (9395730).

Almost surely, 2^876579840 is an apocalyptic number.

876579840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 876579840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653648480).

876579840 is an abundant number, since it is smaller than the sum of its proper divisors (2430717120).

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

876579840 is a wasteful number, since it uses less digits than its factorization.

876579840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 876579840 is about 29607.0910425189. The cubic root of 876579840 is about 957.0408881814.

The spelling of 876579840 in words is "eight hundred seventy-six million, five hundred seventy-nine thousand, eight hundred forty".