8130976400 has 60 divisors (see below), whose sum is σ = 19572525552. Its totient is φ = 3246088320.

The previous prime is 8130976319. The next prime is 8130976409. The reversal of 8130976400 is 46790318.

It is a super-2 number, since 2×8130976400² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8130976409) 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, 189767 + ... + 228633.

Almost surely, 2^8130976400 is an apocalyptic number.

8130976400 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 8130976400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9786262776).

8130976400 is an abundant number, since it is smaller than the sum of its proper divisors (11441549152).

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

8130976400 is a wasteful number, since it uses less digits than its factorization.

8130976400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39408 (or 39397 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 8130976400 is about 90171.9268952372. The cubic root of 8130976400 is about 2010.8556706002.

The spelling of 8130976400 in words is "eight billion, one hundred thirty million, nine hundred seventy-six thousand, four hundred".