797702400 has 324 divisors, whose sum is σ = 3113706960. Its totient is φ = 193228800.

The previous prime is 797702393. The next prime is 797702401. The reversal of 797702400 is 4207797.

797702400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (797702401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 632971 + ... + 634229.

Almost surely, 2^797702400 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 797702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556853480).

797702400 is an abundant number, since it is smaller than the sum of its proper divisors (2316004560).

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

797702400 is a wasteful number, since it uses less digits than its factorization.

797702400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 797702400 is about 28243.6258295567. The cubic root of 797702400 is about 927.4282050292.

The spelling of 797702400 in words is "seven hundred ninety-seven million, seven hundred two thousand, four hundred".