76776770385 has 72 divisors (see below), whose sum is σ = 155187363240. Its totient is φ = 35011726848.

The previous prime is 76776770381. The next prime is 76776770393. The reversal of 76776770385 is 58307767767.

It can be written as a sum of positive squares in 4 ways, for example, as 9808129296 + 66968641089 = 99036^2 + 258783^2 .

It is not a de Polignac number, because 76776770385 - 2² = 76776770381 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (76776770381) 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 71 ways as a sum of consecutive naturals, for example, 859279 + ... + 944411.

It is an arithmetic number, because the mean of its divisors is an integer number (2155380045).

Almost surely, 2^76776770385 is an apocalyptic number.

It is an amenable number.

76776770385 is an abundant number, since it is smaller than the sum of its proper divisors (78410592855).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76776770385 is a wasteful number, since it uses less digits than its factorization.

76776770385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85567 (or 85557 counting only the distinct ones).

The product of its (nonzero) digits is 72606240, while the sum is 63.

The spelling of 76776770385 in words is "seventy-six billion, seven hundred seventy-six million, seven hundred seventy thousand, three hundred eighty-five".