876769920 has 320 divisors, whose sum is σ = 3374549640. Its totient is φ = 215654400.

The previous prime is 876769909. The next prime is 876769987. The reversal of 876769920 is 29967678.

It can be written as a sum of positive squares in 4 ways, for example, as 230796864 + 645973056 = 15192^2 + 25416^2 .

It is a tau number, because it is divible by the number of its divisors (320).

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 39 ways as a sum of consecutive naturals, for example, 673270 + ... + 674570.

Almost surely, 2^876769920 is an apocalyptic number.

876769920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 876769920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687274820).

876769920 is an abundant number, since it is smaller than the sum of its proper divisors (2497779720).

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

876769920 is a wasteful number, since it uses less digits than its factorization.

876769920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 876769920 is about 29610.3009103251. The cubic root of 876769920 is about 957.1100589807.

It can be divided in two parts, 8767 and 69920, that added together give a palindrome (78687).

The spelling of 876769920 in words is "eight hundred seventy-six million, seven hundred sixty-nine thousand, nine hundred twenty".