77287725 has 72 divisors (see below), whose sum is σ = 147981600. Its totient is φ = 38448000.

The previous prime is 77287723. The next prime is 77287739. The reversal of 77287725 is 52778277.

It is a happy number.

It is not a de Polignac number, because 77287725 - 2¹ = 77287723 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77287723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 431686 + ... + 431864.

It is an arithmetic number, because the mean of its divisors is an integer number (2055300).

Almost surely, 2^77287725 is an apocalyptic number.

77287725 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

77287725 is a deficient number, since it is larger than the sum of its proper divisors (70693875).

77287725 is a wasteful number, since it uses less digits than its factorization.

77287725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 307 counting only the distinct ones).

The product of its digits is 384160, while the sum is 45.

The square root of 77287725 is about 8791.3437539434. The cubic root of 77287725 is about 425.9613302200.

The spelling of 77287725 in words is "seventy-seven million, two hundred eighty-seven thousand, seven hundred twenty-five".