797376800 has 216 divisors, whose sum is σ = 2250137232. Its totient is φ = 273600000.

The previous prime is 797376787. The next prime is 797376803. The reversal of 797376800 is 8673797.

It is a super-2 number, since 2×797376800² = 1271619522356480000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (797376803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3176675 + ... + 3176925.

It is an arithmetic number, because the mean of its divisors is an integer number (10417302).

Almost surely, 2^797376800 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 797376800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125068616).

797376800 is an abundant number, since it is smaller than the sum of its proper divisors (1452760432).

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

797376800 is a wasteful number, since it uses less digits than its factorization.

797376800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 47.

The square root of 797376800 is about 28237.8611088021. The cubic root of 797376800 is about 927.3020043650.

The spelling of 797376800 in words is "seven hundred ninety-seven million, three hundred seventy-six thousand, eight hundred".