8735870400 has 336 divisors, whose sum is σ = 29518051200. Its totient is φ = 2261053440.

The previous prime is 8735870389. The next prime is 8735870441. The reversal of 8735870400 is 40785378.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30868659 + ... + 30868941.

Almost surely, 2^8735870400 is an apocalyptic number.

8735870400 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 8735870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14759025600).

8735870400 is an abundant number, since it is smaller than the sum of its proper divisors (20782180800).

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

8735870400 is a wasteful number, since it uses less digits than its factorization.

8735870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 8735870400 is about 93465.8782658142. The cubic root of 8735870400 is about 2059.5328692271.

The spelling of 8735870400 in words is "eight billion, seven hundred thirty-five million, eight hundred seventy thousand, four hundred".