877964800 has 120 divisors (see below), whose sum is σ = 2198091456. Its totient is φ = 347504640.

The previous prime is 877964783. The next prime is 877964803. The reversal of 877964800 is 8469778.

877964800 = 366² + 367² + ... + 1389².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (877964803) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1446097 + ... + 1446703.

Almost surely, 2^877964800 is an apocalyptic number.

877964800 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 877964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099045728).

877964800 is an abundant number, since it is smaller than the sum of its proper divisors (1320126656).

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

877964800 is a wasteful number, since it uses less digits than its factorization.

877964800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 49.

The square root of 877964800 is about 29630.4708028745. The cubic root of 877964800 is about 957.5446513455.

The spelling of 877964800 in words is "eight hundred seventy-seven million, nine hundred sixty-four thousand, eight hundred".