77756049 has 24 divisors (see below), whose sum is σ = 131494272. Its totient is φ = 43346880.

The previous prime is 77756009. The next prime is 77756051. The reversal of 77756049 is 94065777.

It is not a de Polignac number, because 77756049 - 2⁷ = 77755921 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 77755995 and 77756013.

It is not an unprimeable number, because it can be changed into a prime (77756009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12469 + ... + 17634.

It is an arithmetic number, because the mean of its divisors is an integer number (5478928).

Almost surely, 2^77756049 is an apocalyptic number.

It is an amenable number.

77756049 is a deficient number, since it is larger than the sum of its proper divisors (53738223).

77756049 is a wasteful number, since it uses less digits than its factorization.

77756049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30157 (or 30154 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 77756049 is about 8817.9390449243. The cubic root of 77756049 is about 426.8199673601.

It can be divided in two parts, 7775 and 6049, that added together give a cube (13824 = 24³).

The spelling of 77756049 in words is "seventy-seven million, seven hundred fifty-six thousand, forty-nine".