77013129 has 16 divisors (see below), whose sum is σ = 107642304. Its totient is φ = 48921600.

The previous prime is 77013107. The next prime is 77013149. The reversal of 77013129 is 92131077.

It is not a de Polignac number, because 77013129 - 2¹³ = 77004937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 77013096 and 77013105.

It is not an unprimeable number, because it can be changed into a prime (77013149) 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, 1992 + ... + 12569.

It is an arithmetic number, because the mean of its divisors is an integer number (6727644).

Almost surely, 2^77013129 is an apocalyptic number.

It is an amenable number.

77013129 is a deficient number, since it is larger than the sum of its proper divisors (30629175).

77013129 is a wasteful number, since it uses less digits than its factorization.

77013129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14648.

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 77013129 is about 8775.7124497103. The cubic root of 77013129 is about 425.4562647818.

The spelling of 77013129 in words is "seventy-seven million, thirteen thousand, one hundred twenty-nine".