880951680 has 256 divisors, whose sum is σ = 3566246400. Its totient is φ = 201332736.

The previous prime is 880951661. The next prime is 880951703. The reversal of 880951680 is 86159088.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117319 + ... + 124601.

It is an arithmetic number, because the mean of its divisors is an integer number (13930650).

Almost surely, 2^880951680 is an apocalyptic number.

880951680 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 880951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783123200).

880951680 is an abundant number, since it is smaller than the sum of its proper divisors (2685294720).

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

880951680 is a wasteful number, since it uses less digits than its factorization.

880951680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7318 (or 7300 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 880951680 is about 29680.8301770688. The cubic root of 880951680 is about 958.6292938112.

The spelling of 880951680 in words is "eight hundred eighty million, nine hundred fifty-one thousand, six hundred eighty".