797612400 has 720 divisors, whose sum is σ = 3376569600. Its totient is φ = 177914880.

The previous prime is 797612399. The next prime is 797612407. The reversal of 797612400 is 4216797.

It is a happy number.

797612400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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 (797612407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34678789 + ... + 34678811.

It is an arithmetic number, because the mean of its divisors is an integer number (4689680).

Almost surely, 2^797612400 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 797612400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688284800).

797612400 is an abundant number, since it is smaller than the sum of its proper divisors (2578957200).

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

797612400 is a wasteful number, since it uses less digits than its factorization.

797612400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 797612400 is about 28242.0325047614. The cubic root of 797612400 is about 927.3933249880.

The spelling of 797612400 in words is "seven hundred ninety-seven million, six hundred twelve thousand, four hundred".