807014464 has 63 divisors (see below), whose sum is σ = 1656929757. Its totient is φ = 389985024.

The previous prime is 807014459. The next prime is 807014503. The reversal of 807014464 is 464410708.

The square root of 807014464 is 28408.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 581774400 + 225240064 = 24120^2 + 15008^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12044959 + ... + 12045025.

Almost surely, 2^807014464 is an apocalyptic number.

807014464 is the 28408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 807014464

807014464 is an abundant number, since it is smaller than the sum of its proper divisors (849915293).

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

807014464 is an frugal number, since it uses more digits than its factorization.

807014464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The cubic root of 807014464 is about 931.0230634567.

The spelling of 807014464 in words is "eight hundred seven million, fourteen thousand, four hundred sixty-four".