807932497680 has 1800 divisors, whose sum is σ = 3802051200024. Its totient is φ = 157878927360.

The previous prime is 807932497643. The next prime is 807932497693. The reversal of 807932497680 is 86794239708.

807932497680 is a `hidden beast` number, since 80 + 7 + 9 + 3 + 2 + 497 + 68 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 260148962304 + 547783535376 = 510048^2 + 740124^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 653138022 + ... + 653139258.

Almost surely, 2^807932497680 is an apocalyptic number.

807932497680 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 807932497680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901025600012).

807932497680 is an abundant number, since it is smaller than the sum of its proper divisors (2994118702344).

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

807932497680 is a wasteful number, since it uses less digits than its factorization.

807932497680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 807932497680 in words is "eight hundred seven billion, nine hundred thirty-two million, four hundred ninety-seven thousand, six hundred eighty".