5077584765 has 64 divisors (see below), whose sum is σ = 10275655680. Its totient is φ = 2354806080.

The previous prime is 5077584761. The next prime is 5077584791. The reversal of 5077584765 is 5674857705.

It is a happy number.

5077584765 is a `hidden beast` number, since 50 + 7 + 7 + 584 + 7 + 6 + 5 = 666.

It is not a de Polignac number, because 5077584765 - 2² = 5077584761 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5077584761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40177 + ... + 108486.

It is an arithmetic number, because the mean of its divisors is an integer number (160557120).

Almost surely, 2^5077584765 is an apocalyptic number.

5077584765 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5077584765 is an abundant number, since it is smaller than the sum of its proper divisors (5198070915).

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

5077584765 is a wasteful number, since it uses less digits than its factorization.

5077584765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148711 (or 148705 counting only the distinct ones).

The product of its (nonzero) digits is 8232000, while the sum is 54.

The square root of 5077584765 is about 71257.1734283644. The cubic root of 5077584765 is about 1718.7751290387.

The spelling of 5077584765 in words is "five billion, seventy-seven million, five hundred eighty-four thousand, seven hundred sixty-five".