880070446080 has 1056 divisors, whose sum is σ = 3605498417664. Its totient is φ = 194316337152.

The previous prime is 880070446067. The next prime is 880070446147. The reversal of 880070446080 is 80644070088.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1484098264 + ... + 1484098856.

It is an arithmetic number, because the mean of its divisors is an integer number (3414297744).

Almost surely, 2^880070446080 is an apocalyptic number.

880070446080 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 880070446080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802749208832).

880070446080 is an abundant number, since it is smaller than the sum of its proper divisors (2725427971584).

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

880070446080 is a wasteful number, since it uses less digits than its factorization.

880070446080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 880070446080 in words is "eight hundred eighty billion, seventy million, four hundred forty-six thousand, eighty".