806392720 has 80 divisors (see below), whose sum is σ = 2151612288. Its totient is φ = 275328000.

The previous prime is 806392711. The next prime is 806392759. The reversal of 806392720 is 27293608.

806392720 is a nontrivial binomial coefficient, being equal to C(40160, 2).

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 806392720.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137692 + ... + 143428.

Almost surely, 2^806392720 is an apocalyptic number.

806392720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

806392720 is the 40159-th triangular number and also the 20080-th hexagonal number.

806392720 is the 13387-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806392720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075806144).

806392720 is an abundant number, since it is smaller than the sum of its proper divisors (1345219568).

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

806392720 is a wasteful number, since it uses less digits than its factorization.

806392720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6008 (or 6002 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 806392720 is about 28397.0547768602. The cubic root of 806392720 is about 930.7839075933.

The spelling of 806392720 in words is "eight hundred six million, three hundred ninety-two thousand, seven hundred twenty".