876533680 has 240 divisors, whose sum is σ = 2431844352. Its totient is φ = 292723200.

The previous prime is 876533639. The next prime is 876533683. The reversal of 876533680 is 86335678.

It is a super-2 number, since 2×876533680² = 1536622584348684800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 876533680.

It is not an unprimeable number, because it can be changed into a prime (876533683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6901777 + ... + 6901903.

Almost surely, 2^876533680 is an apocalyptic number.

876533680 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 876533680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215922176).

876533680 is an abundant number, since it is smaller than the sum of its proper divisors (1555310672).

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

876533680 is a wasteful number, since it uses less digits than its factorization.

876533680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The square root of 876533680 is about 29606.3114892754. The cubic root of 876533680 is about 957.0240888815.

The spelling of 876533680 in words is "eight hundred seventy-six million, five hundred thirty-three thousand, six hundred eighty".