798660800 has 252 divisors, whose sum is σ = 2337444144. Its totient is φ = 267724800.

The previous prime is 798660791. The next prime is 798660883. The reversal of 798660800 is 8066897.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4782317 + ... + 4782483.

It is an arithmetic number, because the mean of its divisors is an integer number (9275572).

Almost surely, 2^798660800 is an apocalyptic number.

798660800 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 798660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168722072).

798660800 is an abundant number, since it is smaller than the sum of its proper divisors (1538783344).

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

798660800 is a wasteful number, since it uses less digits than its factorization.

798660800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 44.

The square root of 798660800 is about 28260.5873965847. The cubic root of 798660800 is about 927.7994760949.

It can be divided in two parts, 7986 and 60800, that added together give a palindrome (68786).

The spelling of 798660800 in words is "seven hundred ninety-eight million, six hundred sixty thousand, eight hundred".