880978480 has 60 divisors (see below), whose sum is σ = 2099771856. Its totient is φ = 343744000.

The previous prime is 880978463. The next prime is 880978487. The reversal of 880978480 is 84879088.

It is a super-2 number, since 2×880978480² = 1552246164446220800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (880978487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131205 + ... + 137755.

Almost surely, 2^880978480 is an apocalyptic number.

880978480 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 880978480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049885928).

880978480 is an abundant number, since it is smaller than the sum of its proper divisors (1218793376).

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

880978480 is a wasteful number, since it uses less digits than its factorization.

880978480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6646 (or 6599 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 52.

The square root of 880978480 is about 29681.2816434870. The cubic root of 880978480 is about 958.6390147396.

The spelling of 880978480 in words is "eight hundred eighty million, nine hundred seventy-eight thousand, four hundred eighty".