875703398400 has 1248 divisors, whose sum is σ = 3439999825920. Its totient is φ = 217869189120.

The previous prime is 875703398389. The next prime is 875703398441. The reversal of 875703398400 is 4893307578.

875703398400 is a `hidden beast` number, since 87 + 5 + 70 + 3 + 3 + 98 + 400 = 666.

875703398400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2988748654 + ... + 2988748946.

Almost surely, 2^875703398400 is an apocalyptic number.

875703398400 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 875703398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719999912960).

875703398400 is an abundant number, since it is smaller than the sum of its proper divisors (2564296427520).

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

875703398400 is a wasteful number, since it uses less digits than its factorization.

875703398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 875703398400 in words is "eight hundred seventy-five billion, seven hundred three million, three hundred ninety-eight thousand, four hundred".