77338260 has 96 divisors (see below), whose sum is σ = 242161920. Its totient is φ = 20490624.

The previous prime is 77338243. The next prime is 77338279. The reversal of 77338260 is 6283377.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 106017 + ... + 106743.

It is an arithmetic number, because the mean of its divisors is an integer number (2522520).

Almost surely, 2^77338260 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 77338260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121080960).

77338260 is an abundant number, since it is smaller than the sum of its proper divisors (164823660).

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

77338260 is a wasteful number, since it uses less digits than its factorization.

77338260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 77338260 is about 8794.2174182812. The cubic root of 77338260 is about 426.0541490382.

The spelling of 77338260 in words is "seventy-seven million, three hundred thirty-eight thousand, two hundred sixty".