77995125 has 48 divisors (see below), whose sum is σ = 151442928. Its totient is φ = 38390400.

The previous prime is 77995121. The next prime is 77995153. The reversal of 77995125 is 52159977.

It can be written as a sum of positive squares in 8 ways, for example, as 13883076 + 64112049 = 3726^2 + 8007^2 .

It is not a de Polignac number, because 77995125 - 2² = 77995121 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77995121) 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 47 ways as a sum of consecutive naturals, for example, 11959 + ... + 17291.

It is an arithmetic number, because the mean of its divisors is an integer number (3155061).

Almost surely, 2^77995125 is an apocalyptic number.

77995125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

77995125 is a deficient number, since it is larger than the sum of its proper divisors (73447803).

77995125 is a wasteful number, since it uses less digits than its factorization.

77995125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5367 (or 5354 counting only the distinct ones).

The product of its digits is 198450, while the sum is 45.

The square root of 77995125 is about 8831.4848694883. The cubic root of 77995125 is about 427.2569666121.

The spelling of 77995125 in words is "seventy-seven million, nine hundred ninety-five thousand, one hundred twenty-five".