80809920 has 224 divisors, whose sum is σ = 292608000. Its totient is φ = 20984832.

The previous prime is 80809919. The next prime is 80809987. The reversal of 80809920 is 2990808.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 405981 + ... + 406179.

Almost surely, 2^80809920 is an apocalyptic number.

80809920 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 80809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146304000).

80809920 is an abundant number, since it is smaller than the sum of its proper divisors (211798080).

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

80809920 is a wasteful number, since it uses less digits than its factorization.

80809920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 80809920 is about 8989.4337975203. The cubic root of 80809920 is about 432.3361581059.

It can be divided in two parts, 80 and 809920, that added together give a 4-th power (810000 = 30⁴).

The spelling of 80809920 in words is "eighty million, eight hundred nine thousand, nine hundred twenty".