77116039 has 32 divisors (see below), whose sum is σ = 106122240. Its totient is φ = 54086400.

The previous prime is 77116021. The next prime is 77116073. The reversal of 77116039 is 93061177.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 77116039 - 2¹⁷ = 76984967 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 77115995 and 77116013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77116019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40102 + ... + 41980.

It is an arithmetic number, because the mean of its divisors is an integer number (3316320).

Almost surely, 2^77116039 is an apocalyptic number.

77116039 is a deficient number, since it is larger than the sum of its proper divisors (29006201).

77116039 is a wasteful number, since it uses less digits than its factorization.

77116039 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1951.

The product of its (nonzero) digits is 7938, while the sum is 34.

The square root of 77116039 is about 8781.5738338865. The cubic root of 77116039 is about 425.6456879664.

The spelling of 77116039 in words is "seventy-seven million, one hundred sixteen thousand, thirty-nine".