797414400 has 198 divisors, whose sum is σ = 2855945742. Its totient is φ = 212582400.

The previous prime is 797414381. The next prime is 797414407. The reversal of 797414400 is 4414797.

It can be written as a sum of positive squares in 3 ways, for example, as 6230016 + 791184384 = 2496^2 + 28128^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (797414407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 228670 + ... + 232130.

Almost surely, 2^797414400 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 797414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427972871).

797414400 is an abundant number, since it is smaller than the sum of its proper divisors (2058531342).

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

797414400 is a wasteful number, since it uses less digits than its factorization.

797414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3497 (or 3471 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 797414400 is about 28238.5268737588. The cubic root of 797414400 is about 927.3165796604.

The spelling of 797414400 in words is "seven hundred ninety-seven million, four hundred fourteen thousand, four hundred".