80792640 has 168 divisors, whose sum is σ = 288462720. Its totient is φ = 21523968.

The previous prime is 80792639. The next prime is 80792651. The reversal of 80792640 is 4629708.

80792640 is a `hidden beast` number, since 8 + 0 + 7 + 9 + 2 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 80792595 and 80792604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77241 + ... + 78279.

It is an arithmetic number, because the mean of its divisors is an integer number (1717040).

Almost surely, 2^80792640 is an apocalyptic number.

80792640 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 80792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144231360).

80792640 is an abundant number, since it is smaller than the sum of its proper divisors (207670080).

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

80792640 is a wasteful number, since it uses less digits than its factorization.

80792640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 80792640 is about 8988.4726177477. The cubic root of 80792640 is about 432.3053396891.

The spelling of 80792640 in words is "eighty million, seven hundred ninety-two thousand, six hundred forty".