806996736 has 288 divisors, whose sum is σ = 2939435520. Its totient is φ = 212668416.

The previous prime is 806996711. The next prime is 806996737. The reversal of 806996736 is 637699608.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806996737) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 628351 + ... + 629633.

Almost surely, 2^806996736 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 806996736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469717760).

806996736 is an abundant number, since it is smaller than the sum of its proper divisors (2132438784).

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

806996736 is a wasteful number, since it uses less digits than its factorization.

806996736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 806996736 is about 28407.6879735046. The cubic root of 806996736 is about 931.0162460251.

The spelling of 806996736 in words is "eight hundred six million, nine hundred ninety-six thousand, seven hundred thirty-six".