877672320 has 384 divisors, whose sum is σ = 3432585600. Its totient is φ = 189665280.

The previous prime is 877672319. The next prime is 877672333. The reversal of 877672320 is 23276778.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1787275 + ... + 1787765.

It is an arithmetic number, because the mean of its divisors is an integer number (8939025).

Almost surely, 2^877672320 is an apocalyptic number.

877672320 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 877672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716292800).

877672320 is an abundant number, since it is smaller than the sum of its proper divisors (2554913280).

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

877672320 is a wasteful number, since it uses less digits than its factorization.

877672320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 42.

The square root of 877672320 is about 29625.5349318793. The cubic root of 877672320 is about 957.4383092823.

The spelling of 877672320 in words is "eight hundred seventy-seven million, six hundred seventy-two thousand, three hundred twenty".