880262400 has 324 divisors, whose sum is σ = 3090135552. Its totient is φ = 220631040.

The previous prime is 880262387. The next prime is 880262413. The reversal of 880262400 is 4262088.

It is a happy number.

880262400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (880262387) and next prime (880262413).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 6931137 + ... + 6931263.

Almost surely, 2^880262400 is an apocalyptic number.

880262400 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 880262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545067776).

880262400 is an abundant number, since it is smaller than the sum of its proper divisors (2209873152).

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

880262400 is a wasteful number, since it uses less digits than its factorization.

880262400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 880262400 is about 29669.2163698336. The cubic root of 880262400 is about 958.3792095661.

The spelling of 880262400 in words is "eight hundred eighty million, two hundred sixty-two thousand, four hundred".