880432000 has 192 divisors, whose sum is σ = 2548625040. Its totient is φ = 301593600.

The previous prime is 880431997. The next prime is 880432027. The reversal of 880432000 is 234088.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 783439 + ... + 784561.

Almost surely, 2^880432000 is an apocalyptic number.

880432000 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 880432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274312520).

880432000 is an abundant number, since it is smaller than the sum of its proper divisors (1668193040).

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

880432000 is a wasteful number, since it uses less digits than its factorization.

880432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 880432000 is about 29672.0744134953. The cubic root of 880432000 is about 958.4407558641.

Adding to 880432000 its reverse (234088), we get a palindrome (880666088).

It can be divided in two parts, 8804 and 32000, that added together give a palindrome (40804).

The spelling of 880432000 in words is "eight hundred eighty million, four hundred thirty-two thousand".