793074240 has 672 divisors, whose sum is σ = 3408297984. Its totient is φ = 171694080.

The previous prime is 793074199. The next prime is 793074251. The reversal of 793074240 is 42470397.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 793074195 and 793074204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16873897 + ... + 16873943.

It is an arithmetic number, because the mean of its divisors is an integer number (5071872).

Almost surely, 2^793074240 is an apocalyptic number.

793074240 is a gapful number since it is divisible by the number (70) 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 793074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704148992).

793074240 is an abundant number, since it is smaller than the sum of its proper divisors (2615223744).

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

793074240 is a wasteful number, since it uses less digits than its factorization.

793074240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 793074240 is about 28161.5738196572. The cubic root of 793074240 is about 925.6311212767.

The spelling of 793074240 in words is "seven hundred ninety-three million, seventy-four thousand, two hundred forty".