77765268 has 96 divisors (see below), whose sum is σ = 215728128. Its totient is φ = 21340800.

The previous prime is 77765243. The next prime is 77765279. The reversal of 77765268 is 86256777.

It is a super-2 number, since 2×77765268² = 12094873814223648, which contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 407053 + ... + 407243.

It is an arithmetic number, because the mean of its divisors is an integer number (2247168).

Almost surely, 2^77765268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77765268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107864064).

77765268 is an abundant number, since it is smaller than the sum of its proper divisors (137962860).

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

77765268 is a wasteful number, since it uses less digits than its factorization.

77765268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 371 counting only the distinct ones).

The product of its digits is 987840, while the sum is 48.

The square root of 77765268 is about 8818.4617706264. The cubic root of 77765268 is about 426.8368350629.

The spelling of 77765268 in words is "seventy-seven million, seven hundred sixty-five thousand, two hundred sixty-eight".