879354090 has 64 divisors (see below), whose sum is σ = 2350972800. Its totient is φ = 233891712.

The previous prime is 879354089. The next prime is 879354097. The reversal of 879354090 is 90453978.

879354090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (879354097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106449 + ... + 114411.

It is an arithmetic number, because the mean of its divisors is an integer number (36733950).

Almost surely, 2^879354090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 879354090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175486400).

879354090 is an abundant number, since it is smaller than the sum of its proper divisors (1471618710).

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

879354090 is a wasteful number, since it uses less digits than its factorization.

879354090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8388 (or 8382 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 879354090 is about 29653.9051391212. The cubic root of 879354090 is about 958.0494575112.

The spelling of 879354090 in words is "eight hundred seventy-nine million, three hundred fifty-four thousand, ninety".