8356790400 has 384 divisors, whose sum is σ = 32317157760. Its totient is φ = 1857945600.

The previous prime is 8356790389. The next prime is 8356790401. The reversal of 8356790400 is 40976538.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (8356790401) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2484720 + ... + 2488080.

It is an arithmetic number, because the mean of its divisors is an integer number (84159265).

Almost surely, 2^8356790400 is an apocalyptic number.

8356790400 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 8356790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16158578880).

8356790400 is an abundant number, since it is smaller than the sum of its proper divisors (23960367360).

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

8356790400 is a wasteful number, since it uses less digits than its factorization.

8356790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3432 (or 3415 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 8356790400 is about 91415.4822773473. The cubic root of 8356790400 is about 2029.3011580081.

The spelling of 8356790400 in words is "eight billion, three hundred fifty-six million, seven hundred ninety thousand, four hundred".