77733225 has 36 divisors (see below), whose sum is σ = 140103756. Its totient is φ = 41197440.

The previous prime is 77733221. The next prime is 77733239. The reversal of 77733225 is 52233777.

It can be written as a sum of positive squares in 6 ways, for example, as 3549456 + 74183769 = 1884^2 + 8613^2 .

It is not a de Polignac number, because 77733225 - 2² = 77733221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 77733225.

It is not an unprimeable number, because it can be changed into a prime (77733221) 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, 37927 + ... + 39923.

It is an arithmetic number, because the mean of its divisors is an integer number (3891771).

Almost surely, 2^77733225 is an apocalyptic number.

77733225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

77733225 is a deficient number, since it is larger than the sum of its proper divisors (62370531).

77733225 is a wasteful number, since it uses less digits than its factorization.

77733225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186 (or 2178 counting only the distinct ones).

The product of its digits is 61740, while the sum is 36.

The square root of 77733225 is about 8816.6447699791. The cubic root of 77733225 is about 426.7782012965.

The spelling of 77733225 in words is "seventy-seven million, seven hundred thirty-three thousand, two hundred twenty-five".