77002420077 has 18 divisors (see below), whose sum is σ = 122256369326. Its totient is φ = 46668132720.

The previous prime is 77002420073. The next prime is 77002420081.

77002420077 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (77002420073) and next prime (77002420081).

It can be written as a sum of positive squares in only one way, i.e., 73994336361 + 3008083716 = 272019^2 + 54846^2 .

It is not a de Polignac number, because 77002420077 - 2² = 77002420073 is a prime.

It is a super-4 number, since 4×77002420077⁴ (a number of 45 digits) contains 4444 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77002420073) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 35353558 + ... + 35355735.

Almost surely, 2^77002420077 is an apocalyptic number.

It is an amenable number.

77002420077 is a deficient number, since it is larger than the sum of its proper divisors (45253949249).

77002420077 is a wasteful number, since it uses less digits than its factorization.

77002420077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70709321 (or 70709307 counting only the distinct ones).

The product of its (nonzero) digits is 38416, while the sum is 36.

The spelling of 77002420077 in words is "seventy-seven billion, two million, four hundred twenty thousand, seventy-seven".