8370900400 has 60 divisors (see below), whose sum is σ = 20146980600. Its totient is φ = 3342384640.

The previous prime is 8370900383. The next prime is 8370900443. The reversal of 8370900400 is 40090738.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 209211 + ... + 245989.

It is an arithmetic number, because the mean of its divisors is an integer number (335783010).

Almost surely, 2^8370900400 is an apocalyptic number.

8370900400 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 8370900400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10073490300).

8370900400 is an abundant number, since it is smaller than the sum of its proper divisors (11776080200).

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

8370900400 is a wasteful number, since it uses less digits than its factorization.

8370900400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37366 (or 37355 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 8370900400 is about 91492.6248393825. The cubic root of 8370900400 is about 2030.4426384776.

The spelling of 8370900400 in words is "eight billion, three hundred seventy million, nine hundred thousand, four hundred".