879135840 has 144 divisors (see below), whose sum is σ = 3272841936. Its totient is φ = 213120000.

The previous prime is 879135823. The next prime is 879135853. The reversal of 879135840 is 48531978.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11911 + ... + 43590.

It is an arithmetic number, because the mean of its divisors is an integer number (22728069).

Almost surely, 2^879135840 is an apocalyptic number.

879135840 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 879135840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636420968).

879135840 is an abundant number, since it is smaller than the sum of its proper divisors (2393706096).

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

879135840 is a wasteful number, since it uses less digits than its factorization.

879135840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55533 (or 55522 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 879135840 is about 29650.2249569881. The cubic root of 879135840 is about 957.9701903925.

The spelling of 879135840 in words is "eight hundred seventy-nine million, one hundred thirty-five thousand, eight hundred forty".