807293413872 has 240 divisors, whose sum is σ = 2490403818240. Its totient is φ = 242093491200.

The previous prime is 807293413831. The next prime is 807293413873. The reversal of 807293413872 is 278314392708.

807293413872 is a `hidden beast` number, since 8 + 0 + 72 + 93 + 413 + 8 + 72 = 666.

It is a super-2 number, since 2×807293413872² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (807293413873) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71824029 + ... + 71835267.

It is an arithmetic number, because the mean of its divisors is an integer number (10376682576).

Almost surely, 2^807293413872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 807293413872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245201909120).

807293413872 is an abundant number, since it is smaller than the sum of its proper divisors (1683110404368).

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

807293413872 is a wasteful number, since it uses less digits than its factorization.

807293413872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11732 (or 11723 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 807293413872 in words is "eight hundred seven billion, two hundred ninety-three million, four hundred thirteen thousand, eight hundred seventy-two".