807053126800 has 120 divisors (see below), whose sum is σ = 1949454993512. Its totient is φ = 321076224000.

The previous prime is 807053126779. The next prime is 807053126813. The reversal of 807053126800 is 8621350708.

807053126800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 509059418256 + 297993708544 = 713484^2 + 545888^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56743690 + ... + 56757910.

Almost surely, 2^807053126800 is an apocalyptic number.

807053126800 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 807053126800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974727496756).

807053126800 is an abundant number, since it is smaller than the sum of its proper divisors (1142401866712).

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

807053126800 is a wasteful number, since it uses less digits than its factorization.

807053126800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14997 (or 14986 counting only the distinct ones).

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

The spelling of 807053126800 in words is "eight hundred seven billion, fifty-three million, one hundred twenty-six thousand, eight hundred".