80037792 has 144 divisors (see below), whose sum is σ = 243891648. Its totient is φ = 24837120.

The previous prime is 80037779. The next prime is 80037809. The reversal of 80037792 is 29773008.

It is a tau number, because it is divible by the number of its divisors (144).

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

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 23 ways as a sum of consecutive naturals, for example, 284692 + ... + 284972.

It is an arithmetic number, because the mean of its divisors is an integer number (1693692).

Almost surely, 2^80037792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80037792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121945824).

80037792 is an abundant number, since it is smaller than the sum of its proper divisors (163853856).

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

80037792 is a wasteful number, since it uses less digits than its factorization.

80037792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 80037792 is about 8946.3842975808. The cubic root of 80037792 is about 430.9547776549.

The spelling of 80037792 in words is "eighty million, thirty-seven thousand, seven hundred ninety-two".