807980625 has 45 divisors (see below), whose sum is σ = 1462245213. Its totient is φ = 429786000.

The previous prime is 807980611. The next prime is 807980651. The reversal of 807980625 is 526089708.

The square root of 807980625 is 28425.

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

It can be written as a sum of positive squares in 2 ways, for example, as 63345681 + 744634944 = 7959^2 + 27288^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 807980625 - 2²¹ = 805883473 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2131686 + ... + 2132064.

Almost surely, 2^807980625 is an apocalyptic number.

807980625 is the 28425-th square number.

807980625 is the 14213-rd centered octagonal number.

It is an amenable number.

807980625 is a deficient number, since it is larger than the sum of its proper divisors (654264588).

807980625 is an frugal number, since it uses more digits than its factorization.

807980625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The cubic root of 807980625 is about 931.3944568182.

The spelling of 807980625 in words is "eight hundred seven million, nine hundred eighty thousand, six hundred twenty-five".