791814240 has 144 divisors (see below), whose sum is σ = 3088114848. Its totient is φ = 180983808.

The previous prime is 791814229. The next prime is 791814269. The reversal of 791814240 is 42418197.

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 a junction number, because it is equal to n+sod(n) for n = 791814195 and 791814204.

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 23 ways as a sum of consecutive naturals, for example, 29197 + ... + 49356.

It is an arithmetic number, because the mean of its divisors is an integer number (21445242).

Almost surely, 2^791814240 is an apocalyptic number.

791814240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

791814240 is an abundant number, since it is smaller than the sum of its proper divisors (2296300608).

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

791814240 is a wasteful number, since it uses less digits than its factorization.

791814240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78581 (or 78570 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 791814240 is about 28139.1940183083. The cubic root of 791814240 is about 925.1406613459.

The spelling of 791814240 in words is "seven hundred ninety-one million, eight hundred fourteen thousand, two hundred forty".