797430400 has 192 divisors, whose sum is σ = 2197906200. Its totient is φ = 283852800.

The previous prime is 797430397. The next prime is 797430409. The reversal of 797430400 is 4034797.

It can be written as a sum of positive squares in 12 ways, for example, as 39639616 + 757790784 = 6296^2 + 27528^2 .

It is not an unprimeable number, because it can be changed into a prime (797430409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1206070 + ... + 1206730.

Almost surely, 2^797430400 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 797430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098953100).

797430400 is an abundant number, since it is smaller than the sum of its proper divisors (1400475800).

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

797430400 is a wasteful number, since it uses less digits than its factorization.

797430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The square root of 797430400 is about 28238.8101732350. The cubic root of 797430400 is about 927.3227817748.

The spelling of 797430400 in words is "seven hundred ninety-seven million, four hundred thirty thousand, four hundred".