77378085 has 20 divisors (see below), whose sum is σ = 138708108. Its totient is φ = 41268096.

The previous prime is 77378071. The next prime is 77378107. The reversal of 77378085 is 58087377.

It can be written as a sum of positive squares in 2 ways, for example, as 57289761 + 20088324 = 7569^2 + 4482^2 .

It is not a de Polignac number, because 77378085 - 2¹⁰ = 77377061 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 77378085.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 95124 + ... + 95933.

Almost surely, 2^77378085 is an apocalyptic number.

It is an amenable number.

77378085 is a deficient number, since it is larger than the sum of its proper divisors (61330023).

77378085 is a wasteful number, since it uses less digits than its factorization.

77378085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191074 (or 191065 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The square root of 77378085 is about 8796.4813988321. The cubic root of 77378085 is about 426.1272680648.

The spelling of 77378085 in words is "seventy-seven million, three hundred seventy-eight thousand, eighty-five".