77084865 has 100 divisors (see below), whose sum is σ = 163691220. Its totient is φ = 34499520.

The previous prime is 77084849. The next prime is 77084867. The reversal of 77084865 is 56848077.

It can be written as a sum of positive squares in 2 ways, for example, as 18974736 + 58110129 = 4356^2 + 7623^2 .

It is not a de Polignac number, because 77084865 - 2⁴ = 77084849 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 77084865.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77084867) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 5929599 + ... + 5929611.

Almost surely, 2^77084865 is an apocalyptic number.

It is an amenable number.

77084865 is an abundant number, since it is smaller than the sum of its proper divisors (86606355).

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

77084865 is an equidigital number, since it uses as much as digits as its factorization.

77084865 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 77084865 is about 8779.7986878971. The cubic root of 77084865 is about 425.5883247717.

The spelling of 77084865 in words is "seventy-seven million, eighty-four thousand, eight hundred sixty-five".