807272720 has 40 divisors (see below), whose sum is σ = 1898014680. Its totient is φ = 319278080.

The previous prime is 807272717. The next prime is 807272737. The reversal of 807272720 is 27272708.

It can be written as a sum of positive squares in 4 ways, for example, as 151093264 + 656179456 = 12292^2 + 25616^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49571 + ... + 63810.

It is an arithmetic number, because the mean of its divisors is an integer number (47450367).

Almost surely, 2^807272720 is an apocalyptic number.

807272720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

807272720 is an abundant number, since it is smaller than the sum of its proper divisors (1090741960).

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

807272720 is a wasteful number, since it uses less digits than its factorization.

807272720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113483 (or 113477 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 35.

The square root of 807272720 is about 28412.5451165502. The cubic root of 807272720 is about 931.1223663644.

The spelling of 807272720 in words is "eight hundred seven million, two hundred seventy-two thousand, seven hundred twenty".