77852304 has 60 divisors (see below), whose sum is σ = 222533376. Its totient is φ = 25396416.

The previous prime is 77852303. The next prime is 77852311. The reversal of 77852304 is 40325877.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77852303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1017 + ... + 12519.

Almost surely, 2^77852304 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 77852304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111266688).

77852304 is an abundant number, since it is smaller than the sum of its proper divisors (144681072).

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

77852304 is a wasteful number, since it uses less digits than its factorization.

77852304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11564 (or 11555 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 77852304 is about 8823.3952648626. The cubic root of 77852304 is about 426.9960163215.

The spelling of 77852304 in words is "seventy-seven million, eight hundred fifty-two thousand, three hundred four".