880756400 has 180 divisors, whose sum is σ = 2372017080. Its totient is φ = 313344000.

The previous prime is 880756379. The next prime is 880756421. The reversal of 880756400 is 4657088.

It is an interprime number because it is at equal distance from previous prime (880756379) and next prime (880756421).

It is a super-2 number, since 2×880756400² = 1551463672281920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2196200 + ... + 2196600.

Almost surely, 2^880756400 is an apocalyptic number.

880756400 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 880756400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186008540).

880756400 is an abundant number, since it is smaller than the sum of its proper divisors (1491260680).

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

880756400 is a wasteful number, since it uses less digits than its factorization.

880756400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 880756400 is about 29677.5403293467. The cubic root of 880756400 is about 958.5584556609.

The spelling of 880756400 in words is "eight hundred eighty million, seven hundred fifty-six thousand, four hundred".