77893645 has 16 divisors (see below), whose sum is σ = 97337520. Its totient is φ = 59788800.

The previous prime is 77893639. The next prime is 77893657. The reversal of 77893645 is 54639877.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 28697449 + 49196196 = 5357^2 + 7014^2 .

It is not a de Polignac number, because 77893645 - 2³ = 77893637 is a prime.

It is a super-3 number, since 3×77893645³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9391 + ... + 15619.

It is an arithmetic number, because the mean of its divisors is an integer number (6083595).

Almost surely, 2^77893645 is an apocalyptic number.

It is an amenable number.

77893645 is a deficient number, since it is larger than the sum of its proper divisors (19443875).

77893645 is a wasteful number, since it uses less digits than its factorization.

77893645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6336.

The product of its digits is 1270080, while the sum is 49.

The square root of 77893645 is about 8825.7376462254. The cubic root of 77893645 is about 427.0715838502.

The spelling of 77893645 in words is "seventy-seven million, eight hundred ninety-three thousand, six hundred forty-five".