793872240 has 80 divisors (see below), whose sum is σ = 2812581888. Its totient is φ = 181456128.

The previous prime is 793872203. The next prime is 793872271. The reversal of 793872240 is 42278397.

793872240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 793872192 and 793872201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234592 + ... + 237951.

Almost surely, 2^793872240 is an apocalyptic number.

793872240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

793872240 is an abundant number, since it is smaller than the sum of its proper divisors (2018709648).

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

793872240 is a wasteful number, since it uses less digits than its factorization.

793872240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472566 (or 472560 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 793872240 is about 28175.7384996383. The cubic root of 793872240 is about 925.9414772681.

The spelling of 793872240 in words is "seven hundred ninety-three million, eight hundred seventy-two thousand, two hundred forty".