26780625 has 75 divisors (see below), whose sum is σ = 52259053. Its totient is φ = 13662000.

The previous prime is 26780599. The next prime is 26780629. The reversal of 26780625 is 52608762.

The square root of 26780625 is 5175.

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

26780625 is a `hidden beast` number, since 26 + 7 + 8 + 0 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2099601 + 24681024 = 1449^2 + 4968^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 26780625 - 2⁹ = 26780113 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 26780625.

It is not an unprimeable number, because it can be changed into a prime (26780629) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 1164364 + ... + 1164386.

Almost surely, 2^26780625 is an apocalyptic number.

26780625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

26780625 is the 5175-th square number.

26780625 is the 2588-th centered octagonal number.

It is an amenable number.

26780625 is a deficient number, since it is larger than the sum of its proper divisors (25478428).

26780625 is an frugal number, since it uses more digits than its factorization.

26780625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The cubic root of 26780625 is about 299.1852894921.

Multiplying 26780625 by its sum of digits (36), we get a square (964102500 = 31050²).

The spelling of 26780625 in words is "twenty-six million, seven hundred eighty thousand, six hundred twenty-five".