793797408 has 288 divisors, whose sum is σ = 2509678080. Its totient is φ = 246343680.

The previous prime is 793797397. The next prime is 793797457. The reversal of 793797408 is 804797397.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×793797408² = 1260228649895036928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8919028 + ... + 8919116.

It is an arithmetic number, because the mean of its divisors is an integer number (8714160).

Almost surely, 2^793797408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 793797408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254839040).

793797408 is an abundant number, since it is smaller than the sum of its proper divisors (1715880672).

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

793797408 is a wasteful number, since it uses less digits than its factorization.

793797408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The square root of 793797408 is about 28174.4105173471. The cubic root of 793797408 is about 925.9123826496.

The spelling of 793797408 in words is "seven hundred ninety-three million, seven hundred ninety-seven thousand, four hundred eight".