806912736 has 96 divisors (see below), whose sum is σ = 2445891840. Its totient is φ = 228151296.

The previous prime is 806912707. The next prime is 806912737. The reversal of 806912736 is 637219608.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×806912736² = 1302216327038011392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806912737) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58995 + ... + 71373.

It is an arithmetic number, because the mean of its divisors is an integer number (25478040).

Almost surely, 2^806912736 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 806912736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222945920).

806912736 is an abundant number, since it is smaller than the sum of its proper divisors (1638979104).

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

806912736 is a wasteful number, since it uses less digits than its factorization.

806912736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12496 (or 12488 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 806912736 is about 28406.2094620173. The cubic root of 806912736 is about 930.9839418555.

The spelling of 806912736 in words is "eight hundred six million, nine hundred twelve thousand, seven hundred thirty-six".