875120400 has 810 divisors, whose sum is σ = 3977796186. Its totient is φ = 177408000.

The previous prime is 875120383. The next prime is 875120413. The reversal of 875120400 is 4021578.

It can be written as a sum of positive squares in 3 ways, for example, as 853776 + 874266624 = 924^2 + 29568^2 .

It is a congruent number.

It is an unprimeable number.

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 161 ways as a sum of consecutive naturals, for example, 21344380 + ... + 21344420.

Almost surely, 2^875120400 is an apocalyptic number.

875120400 is a gapful number since it is divisible by the number (80) 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 875120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1988898093).

875120400 is an abundant number, since it is smaller than the sum of its proper divisors (3102675786).

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

875120400 is a wasteful number, since it uses less digits than its factorization.

875120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 875120400 is about 29582.4339769398. The cubic root of 875120400 is about 956.5094592626.

Adding to 875120400 its reverse (4021578), we get a palindrome (879141978).

The spelling of 875120400 in words is "eight hundred seventy-five million, one hundred twenty thousand, four hundred".