8726320800 has 432 divisors, whose sum is σ = 31851211392. Its totient is φ = 2246860800.

The previous prime is 8726320769. The next prime is 8726320831. The reversal of 8726320800 is 80236278.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8726320769) and next prime (8726320831).

It is a super-2 number, since 2×8726320800² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36208680 + ... + 36208920.

It is an arithmetic number, because the mean of its divisors is an integer number (73729656).

Almost surely, 2^8726320800 is an apocalyptic number.

8726320800 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 8726320800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15925605696).

8726320800 is an abundant number, since it is smaller than the sum of its proper divisors (23124890592).

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

8726320800 is a wasteful number, since it uses less digits than its factorization.

8726320800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 8726320800 is about 93414.7782741039. The cubic root of 8726320800 is about 2058.7821374696.

The spelling of 8726320800 in words is "eight billion, seven hundred twenty-six million, three hundred twenty thousand, eight hundred".