875200400 has 30 divisors (see below), whose sum is σ = 2102669922. Its totient is φ = 350080000.

The previous prime is 875200387. The next prime is 875200411. The reversal of 875200400 is 4002578.

875200400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 11075584 + 864124816 = 3328^2 + 29396^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 875200400.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1093601 + ... + 1094400.

Almost surely, 2^875200400 is an apocalyptic number.

875200400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

875200400 is an abundant number, since it is smaller than the sum of its proper divisors (1227469522).

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

875200400 is a wasteful number, since it uses less digits than its factorization.

875200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188019 (or 2188008 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 875200400 is about 29583.7860998216. The cubic root of 875200400 is about 956.5386051284.

Adding to 875200400 its reverse (4002578), we get a palindrome (879202978).

The spelling of 875200400 in words is "eight hundred seventy-five million, two hundred thousand, four hundred".