793257252480 has 2048 divisors, whose sum is σ = 3736627200000. Its totient is φ = 157666037760.

The previous prime is 793257252461. The next prime is 793257252583. The reversal of 793257252480 is 84252752397.

793257252480 is a `hidden beast` number, since 7 + 9 + 32 + 5 + 7 + 2 + 524 + 80 = 666.

It is a super-2 number, since 2×793257252480² (a number of 25 digits) 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 255 ways as a sum of consecutive naturals, for example, 34489445749 + ... + 34489445771.

It is an arithmetic number, because the mean of its divisors is an integer number (1824525000).

Almost surely, 2^793257252480 is an apocalyptic number.

793257252480 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 793257252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868313600000).

793257252480 is an abundant number, since it is smaller than the sum of its proper divisors (2943369947520).

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

793257252480 is an equidigital number, since it uses as much as digits as its factorization.

793257252480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 793257252480 in words is "seven hundred ninety-three billion, two hundred fifty-seven million, two hundred fifty-two thousand, four hundred eighty".