368772800 has 168 divisors, whose sum is σ = 1034076672. Its totient is φ = 128128000.

The previous prime is 368772799. The next prime is 368772809. The reversal of 368772800 is 8277863.

It is not an unprimeable number, because it can be changed into a prime (368772809) 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, 404345 + ... + 405255.

Almost surely, 2^368772800 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 368772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517038336).

368772800 is an abundant number, since it is smaller than the sum of its proper divisors (665303872).

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

368772800 is a wasteful number, since it uses less digits than its factorization.

368772800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 41.

The square root of 368772800 is about 19203.4580219293. The cubic root of 368772800 is about 717.1108501755.

The spelling of 368772800 in words is "three hundred sixty-eight million, seven hundred seventy-two thousand, eight hundred".