77769540 has 36 divisors (see below), whose sum is σ = 235901484. Its totient is φ = 20738496.

The previous prime is 77769533. The next prime is 77769551. The reversal of 77769540 is 4596777.

It can be written as a sum of positive squares in 2 ways, for example, as 25583364 + 52186176 = 5058^2 + 7224^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 215847 + ... + 216206.

It is an arithmetic number, because the mean of its divisors is an integer number (6552819).

Almost surely, 2^77769540 is an apocalyptic number.

It is an amenable number.

77769540 is an abundant number, since it is smaller than the sum of its proper divisors (158131944).

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

77769540 is a wasteful number, since it uses less digits than its factorization.

77769540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432068 (or 432063 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 77769540 is about 8818.7039864143. The cubic root of 77769540 is about 426.8446509496.

The spelling of 77769540 in words is "seventy-seven million, seven hundred sixty-nine thousand, five hundred forty".