77072013 has 16 divisors (see below), whose sum is σ = 115747840. Its totient is φ = 50676192.

The previous prime is 77071957. The next prime is 77072059. The reversal of 77072013 is 31027077.

It is not a de Polignac number, because 77072013 - 2⁶ = 77071949 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77072213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17581 + ... + 21522.

It is an arithmetic number, because the mean of its divisors is an integer number (7234240).

Almost surely, 2^77072013 is an apocalyptic number.

77072013 is a gapful number since it is divisible by the number (73) formed by its first and last digit.

It is an amenable number.

77072013 is a deficient number, since it is larger than the sum of its proper divisors (38675827).

77072013 is a wasteful number, since it uses less digits than its factorization.

77072013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39185 (or 39179 counting only the distinct ones).

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

The square root of 77072013 is about 8779.0667499456. The cubic root of 77072013 is about 425.5646713383.

The spelling of 77072013 in words is "seventy-seven million, seventy-two thousand, thirteen".