880464000 has 512 divisors, whose sum is σ = 3368252160. Its totient is φ = 201523200.

The previous prime is 880463977. The next prime is 880464029. The reversal of 880464000 is 464088.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10607959 + ... + 10608041.

Almost surely, 2^880464000 is an apocalyptic number.

880464000 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 880464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684126080).

880464000 is an abundant number, since it is smaller than the sum of its proper divisors (2487788160).

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

880464000 is a wasteful number, since it uses less digits than its factorization.

880464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 123 counting only the distinct ones).

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

The square root of 880464000 is about 29672.6136361460. The cubic root of 880464000 is about 958.4523674868.

The spelling of 880464000 in words is "eight hundred eighty million, four hundred sixty-four thousand".