793653840 has 480 divisors, whose sum is σ = 3300860160. Its totient is φ = 166772736.

The previous prime is 793653827. The next prime is 793653901. The reversal of 793653840 is 48356397.

793653840 is a `hidden beast` number, since 79 + 3 + 6 + 538 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5055042 + ... + 5055198.

It is an arithmetic number, because the mean of its divisors is an integer number (6876792).

Almost surely, 2^793653840 is an apocalyptic number.

793653840 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 793653840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650430080).

793653840 is an abundant number, since it is smaller than the sum of its proper divisors (2507206320).

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

793653840 is a wasteful number, since it uses less digits than its factorization.

793653840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 793653840 is about 28171.8625582335. The cubic root of 793653840 is about 925.8565584126.

It can be divided in two parts, 7936 and 53840, that added together give a triangular number (61776 = T₃₅₁).

The spelling of 793653840 in words is "seven hundred ninety-three million, six hundred fifty-three thousand, eight hundred forty".