77207013 has 80 divisors (see below), whose sum is σ = 139043520. Its totient is φ = 42177024.

The previous prime is 77206993. The next prime is 77207023. The reversal of 77207013 is 31070277.

77207013 = 84³ + 85³ + ... + 137³.

It is not a de Polignac number, because 77207013 - 2⁶ = 77206949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77207023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 340006 + ... + 340232.

It is an arithmetic number, because the mean of its divisors is an integer number (1738044).

Almost surely, 2^77207013 is an apocalyptic number.

It is an amenable number.

77207013 is a deficient number, since it is larger than the sum of its proper divisors (61836507).

77207013 is a wasteful number, since it uses less digits than its factorization.

77207013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 27.

The square root of 77207013 is about 8786.7521303380. The cubic root of 77207013 is about 425.8130006474.

The spelling of 77207013 in words is "seventy-seven million, two hundred seven thousand, thirteen".