879861690 has 288 divisors, whose sum is σ = 2696016960. Its totient is φ = 205659648.

The previous prime is 879861649. The next prime is 879861701. The reversal of 879861690 is 96168978.

It is a super-2 number, since 2×879861690² = 1548313187059312200, which contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 14912881 + ... + 14912939.

It is an arithmetic number, because the mean of its divisors is an integer number (9361170).

Almost surely, 2^879861690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 879861690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348008480).

879861690 is an abundant number, since it is smaller than the sum of its proper divisors (1816155270).

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

879861690 is a wasteful number, since it uses less digits than its factorization.

879861690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 879861690 is about 29662.4626422015. The cubic root of 879861690 is about 958.2337641396.

It can be divided in two parts, 87986 and 1690, that added together give a triangular number (89676 = T₄₂₃).

The spelling of 879861690 in words is "eight hundred seventy-nine million, eight hundred sixty-one thousand, six hundred ninety".