797374800 has 480 divisors, whose sum is σ = 3105336960. Its totient is φ = 193536000.

The previous prime is 797374789. The next prime is 797374811. The reversal of 797374800 is 8473797.

It is an interprime number because it is at equal distance from previous prime (797374789) and next prime (797374811).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7894750 + ... + 7894850.

It is an arithmetic number, because the mean of its divisors is an integer number (6469452).

Almost surely, 2^797374800 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 797374800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552668480).

797374800 is an abundant number, since it is smaller than the sum of its proper divisors (2307962160).

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

797374800 is a wasteful number, since it uses less digits than its factorization.

797374800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 797374800 is about 28237.8256953328. The cubic root of 797374800 is about 927.3012290704.

The spelling of 797374800 in words is "seven hundred ninety-seven million, three hundred seventy-four thousand, eight hundred".