875138400 has 108 divisors (see below), whose sum is σ = 3085982172. Its totient is φ = 233368320.

The previous prime is 875138387. The next prime is 875138417. The reversal of 875138400 is 4831578.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 53574 + ... + 67973.

It is an arithmetic number, because the mean of its divisors is an integer number (28573909).

Almost surely, 2^875138400 is an apocalyptic number.

875138400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

875138400 is an abundant number, since it is smaller than the sum of its proper divisors (2210843772).

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

875138400 is a wasteful number, since it uses less digits than its factorization.

875138400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121573 (or 121557 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 875138400 is about 29582.7382099764. The cubic root of 875138400 is about 956.5160172373.

Adding to 875138400 its reverse (4831578), we get a palindrome (879969978).

The spelling of 875138400 in words is "eight hundred seventy-five million, one hundred thirty-eight thousand, four hundred".