77256225 has 36 divisors (see below), whose sum is σ = 138943116. Its totient is φ = 41034240.

The previous prime is 77256217. The next prime is 77256227. The reversal of 77256225 is 52265277.

77256225 is a `hidden beast` number, since 7 + 7 + 25 + 622 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 25070049 + 52186176 = 5007^2 + 7224^2 .

It is not a de Polignac number, because 77256225 - 2³ = 77256217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 77256225.

It is not an unprimeable number, because it can be changed into a prime (77256227) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 69877 + ... + 70973.

It is an arithmetic number, because the mean of its divisors is an integer number (3859531).

Almost surely, 2^77256225 is an apocalyptic number.

77256225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

77256225 is a deficient number, since it is larger than the sum of its proper divisors (61686891).

77256225 is a wasteful number, since it uses less digits than its factorization.

77256225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1418 counting only the distinct ones).

The product of its digits is 58800, while the sum is 36.

The square root of 77256225 is about 8789.5520363668. The cubic root of 77256225 is about 425.9034529602.

The spelling of 77256225 in words is "seventy-seven million, two hundred fifty-six thousand, two hundred twenty-five".