77105440 has 24 divisors (see below), whose sum is σ = 182161980. Its totient is φ = 30842112.

The previous prime is 77105429. The next prime is 77105459. The reversal of 77105440 is 4450177.

It can be written as a sum of positive squares in 2 ways, for example, as 75134224 + 1971216 = 8668^2 + 1404^2 .

It is a junction number, because it is equal to n+sod(n) for n = 77105399 and 77105408.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 240795 + ... + 241114.

Almost surely, 2^77105440 is an apocalyptic number.

It is an amenable number.

77105440 is an abundant number, since it is smaller than the sum of its proper divisors (105056540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77105440 is a wasteful number, since it uses less digits than its factorization.

77105440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481924 (or 481916 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 77105440 is about 8780.9703336249. The cubic root of 77105440 is about 425.6261865094.

The spelling of 77105440 in words is "seventy-seven million, one hundred five thousand, four hundred forty".