879471810 has 192 divisors, whose sum is σ = 2830982400. Its totient is φ = 190294272.

The previous prime is 879471809. The next prime is 879471811. The reversal of 879471810 is 18174978.

879471810 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (879471809) and next prime (879471811).

It is a super-2 number, since 2×879471810² = 1546941329169352200, 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 (879471811) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 681646 + ... + 682934.

It is an arithmetic number, because the mean of its divisors is an integer number (14744700).

Almost surely, 2^879471810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 879471810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415491200).

879471810 is an abundant number, since it is smaller than the sum of its proper divisors (1951510590).

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

879471810 is a wasteful number, since it uses less digits than its factorization.

879471810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The square root of 879471810 is about 29655.8899714711. The cubic root of 879471810 is about 958.0922072791.

The spelling of 879471810 in words is "eight hundred seventy-nine million, four hundred seventy-one thousand, eight hundred ten".