80930880 has 448 divisors, whose sum is σ = 329184000. Its totient is φ = 18579456.

The previous prime is 80930869. The next prime is 80930891. The reversal of 80930880 is 8803908.

It is an interprime number because it is at equal distance from previous prime (80930869) and next prime (80930891).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2790706 + ... + 2790734.

Almost surely, 2^80930880 is an apocalyptic number.

80930880 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 80930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164592000).

80930880 is an abundant number, since it is smaller than the sum of its proper divisors (248253120).

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

80930880 is a wasteful number, since it uses less digits than its factorization.

80930880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 80930880 is about 8996.1591804503. The cubic root of 80930880 is about 432.5517641051.

It can be divided in two parts, 80930 and 880, that added together give a triangular number (81810 = T₄₀₄).

The spelling of 80930880 in words is "eighty million, nine hundred thirty thousand, eight hundred eighty".