807296896 has 64 divisors (see below), whose sum is σ = 1901484000. Its totient is φ = 334043136.

The previous prime is 807296857. The next prime is 807296899. The reversal of 807296896 is 698692708.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (807296899) 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 7 ways as a sum of consecutive naturals, for example, 10450 + ... + 41518.

Almost surely, 2^807296896 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 807296896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950742000).

807296896 is an abundant number, since it is smaller than the sum of its proper divisors (1094187104).

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

807296896 is a wasteful number, since it uses less digits than its factorization.

807296896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31119 (or 31107 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 55.

The square root of 807296896 is about 28412.9705592358. The cubic root of 807296896 is about 931.1316612776.

The spelling of 807296896 in words is "eight hundred seven million, two hundred ninety-six thousand, eight hundred ninety-six".