77789268 has 96 divisors (see below), whose sum is σ = 214502400. Its totient is φ = 24310368.

The previous prime is 77789237. The next prime is 77789333. The reversal of 77789268 is 86298777.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 342571 + ... + 342797.

It is an arithmetic number, because the mean of its divisors is an integer number (2234400).

Almost surely, 2^77789268 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 77789268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107251200).

77789268 is an abundant number, since it is smaller than the sum of its proper divisors (136713132).

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

77789268 is a wasteful number, since it uses less digits than its factorization.

77789268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 418 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 54.

The square root of 77789268 is about 8819.8224471925. The cubic root of 77789268 is about 426.8807408263.

The spelling of 77789268 in words is "seventy-seven million, seven hundred eighty-nine thousand, two hundred sixty-eight".