807307992 has 64 divisors (see below), whose sum is σ = 2249193600. Its totient is φ = 268302240.

The previous prime is 807307979. The next prime is 807307993. The reversal of 807307992 is 299703708.

It is a super-3 number, since 3×807307992³ (a number of 28 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (807307993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69567 + ... + 80337.

It is an arithmetic number, because the mean of its divisors is an integer number (35143650).

Almost surely, 2^807307992 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 807307992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124596800).

807307992 is an abundant number, since it is smaller than the sum of its proper divisors (1441885608).

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

807307992 is a wasteful number, since it uses less digits than its factorization.

807307992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11133 (or 11123 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 807307992 is about 28413.1658214990. The cubic root of 807307992 is about 931.1359272792.

The spelling of 807307992 in words is "eight hundred seven million, three hundred seven thousand, nine hundred ninety-two".