879427260 has 192 divisors, whose sum is σ = 2814873600. Its totient is φ = 227867904.

The previous prime is 879427253. The next prime is 879427261. The reversal of 879427260 is 62724978.

It is a super-2 number, since 2×879427260² = 1546784611262215200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (879427261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3943509 + ... + 3943731.

It is an arithmetic number, because the mean of its divisors is an integer number (14660800).

Almost surely, 2^879427260 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 879427260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407436800).

879427260 is an abundant number, since it is smaller than the sum of its proper divisors (1935446340).

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

879427260 is a wasteful number, since it uses less digits than its factorization.

879427260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 879427260 is about 29655.1388464124. The cubic root of 879427260 is about 958.0760294900.

The spelling of 879427260 in words is "eight hundred seventy-nine million, four hundred twenty-seven thousand, two hundred sixty".