880772400 has 120 divisors (see below), whose sum is σ = 3134935760. Its totient is φ = 234869760.

The previous prime is 880772381. The next prime is 880772407. The reversal of 880772400 is 4277088.

880772400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (880772407) 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, 29977 + ... + 51576.

Almost surely, 2^880772400 is an apocalyptic number.

880772400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

880772400 is an abundant number, since it is smaller than the sum of its proper divisors (2254163360).

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

880772400 is a wasteful number, since it uses less digits than its factorization.

880772400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81580 (or 81563 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 880772400 is about 29677.8098922410. The cubic root of 880772400 is about 958.5642600818.

The spelling of 880772400 in words is "eight hundred eighty million, seven hundred seventy-two thousand, four hundred".