799534800 has 150 divisors (see below), whose sum is σ = 2869582518. Its totient is φ = 213200640.

The previous prime is 799534787. The next prime is 799534829. The reversal of 799534800 is 8435997.

It can be written as a sum of positive squares in 3 ways, for example, as 148060224 + 651474576 = 12168^2 + 25524^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a super-3 number, since 3×799534800³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 20062 + ... + 44738.

Almost surely, 2^799534800 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 799534800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434791259).

799534800 is an abundant number, since it is smaller than the sum of its proper divisors (2070047718).

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

799534800 is a wasteful number, since it uses less digits than its factorization.

799534800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24707 (or 24687 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 799534800 is about 28276.0463997356. The cubic root of 799534800 is about 928.1377929060.

The spelling of 799534800 in words is "seven hundred ninety-nine million, five hundred thirty-four thousand, eight hundred".