8132756800 has 84 divisors (see below), whose sum is σ = 22870505440. Its totient is φ = 2788369920.

The previous prime is 8132756767. The next prime is 8132756809. The reversal of 8132756800 is 86572318.

It is a super-2 number, since 2×8132756800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8132756809) 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, 351870 + ... + 374269.

Almost surely, 2^8132756800 is an apocalyptic number.

8132756800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8132756800 is an abundant number, since it is smaller than the sum of its proper divisors (14737748640).

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

8132756800 is a wasteful number, since it uses less digits than its factorization.

8132756800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726168 (or 726153 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 8132756800 is about 90181.7986070360. The cubic root of 8132756800 is about 2011.0024289551.

The spelling of 8132756800 in words is "eight billion, one hundred thirty-two million, seven hundred fifty-six thousand, eight hundred".