807456 has 48 divisors (see below), whose sum is σ = 2286144. Its totient is φ = 248064.

The previous prime is 807427. The next prime is 807463. The reversal of 807456 is 654708.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

807456 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, 925 + ... + 1571.

It is an arithmetic number, because the mean of its divisors is an integer number (47628).

2⁸⁰⁷⁴⁵⁶ 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 807456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143072).

807456 is an abundant number, since it is smaller than the sum of its proper divisors (1478688).

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

807456 is a wasteful number, since it uses less digits than its factorization.

807456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 807456 is about 898.5855551922. The cubic root of 807456 is about 93.1192827143.

The spelling of 807456 in words is "eight hundred seven thousand, four hundred fifty-six".