793625280 has 224 divisors, whose sum is σ = 3049560576. Its totient is φ = 170704896.

The previous prime is 793625279. The next prime is 793625299. The reversal of 793625280 is 82526397.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-5 number, since 5×793625280⁵ (a number of 46 digits) contains 55555 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110767 + ... + 117713.

Almost surely, 2^793625280 is an apocalyptic number.

793625280 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 793625280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524780288).

793625280 is an abundant number, since it is smaller than the sum of its proper divisors (2255935296).

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

793625280 is a wasteful number, since it uses less digits than its factorization.

793625280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6991 (or 6981 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 793625280 is about 28171.3556649303. The cubic root of 793625280 is about 925.8454524874.

The spelling of 793625280 in words is "seven hundred ninety-three million, six hundred twenty-five thousand, two hundred eighty".