8153802400 has 72 divisors (see below), whose sum is σ = 20591924220. Its totient is φ = 3149045760.

The previous prime is 8153802383. The next prime is 8153802403. The reversal of 8153802400 is 42083518.

It can be written as a sum of positive squares in 6 ways, for example, as 1102505616 + 7051296784 = 33204^2 + 83972^2 .

It is not an unprimeable number, because it can be changed into a prime (8153802403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 152529 + ... + 198928.

Almost surely, 2^8153802400 is an apocalyptic number.

8153802400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8153802400 is an abundant number, since it is smaller than the sum of its proper divisors (12438121820).

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

8153802400 is a wasteful number, since it uses less digits than its factorization.

8153802400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351506 (or 351493 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 8153802400 is about 90298.4075164119. The cubic root of 8153802400 is about 2012.7355968156.

Adding to 8153802400 its reverse (42083518), we get a palindrome (8195885918).

The spelling of 8153802400 in words is "eight billion, one hundred fifty-three million, eight hundred two thousand, four hundred".