807296 has 64 divisors (see below), whose sum is σ = 1982880. Its totient is φ = 319488.

The previous prime is 807281. The next prime is 807299. The reversal of 807296 is 692708.

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

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (807299) by changing a digit.

807296 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15206 + ... + 15258.

2⁸⁰⁷²⁹⁶ 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 807296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991440).

807296 is an abundant number, since it is smaller than the sum of its proper divisors (1175584).

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

807296 is a wasteful number, since it uses less digits than its factorization.

807296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 807296 is about 898.4965219743. The cubic root of 807296 is about 93.1131316797.

The spelling of 807296 in words is "eight hundred seven thousand, two hundred ninety-six".