876407688 has 96 divisors (see below), whose sum is σ = 2650939200. Its totient is φ = 269656128.

The previous prime is 876407687. The next prime is 876407689. The reversal of 876407688 is 886704678.

876407688 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 (876407687) and next prime (876407689).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (876407683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7933 + ... + 42611.

It is an arithmetic number, because the mean of its divisors is an integer number (27613950).

Almost surely, 2^876407688 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 876407688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325469600).

876407688 is an abundant number, since it is smaller than the sum of its proper divisors (1774531512).

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

876407688 is a wasteful number, since it uses less digits than its factorization.

876407688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34713 (or 34697 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The square root of 876407688 is about 29604.1836232651. The cubic root of 876407688 is about 956.9782328163.

The spelling of 876407688 in words is "eight hundred seventy-six million, four hundred seven thousand, six hundred eighty-eight".