80801920 has 64 divisors (see below), whose sum is σ = 194322240. Its totient is φ = 32128000.

The previous prime is 80801891. The next prime is 80801947. The reversal of 80801920 is 2910808.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160389 + ... + 160891.

It is an arithmetic number, because the mean of its divisors is an integer number (3036285).

Almost surely, 2^80801920 is an apocalyptic number.

80801920 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 80801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97161120).

80801920 is an abundant number, since it is smaller than the sum of its proper divisors (113520320).

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

80801920 is a wasteful number, since it uses less digits than its factorization.

80801920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 80801920 is about 8988.9888196615. The cubic root of 80801920 is about 432.3218908666.

It can be divided in two parts, 8080 and 1920, that added together give a 4-th power (10000 = 10⁴).

The spelling of 80801920 in words is "eighty million, eight hundred one thousand, nine hundred twenty".