77734852 has 72 divisors (see below), whose sum is σ = 159955992. Its totient is φ = 32832000.

The previous prime is 77734849. The next prime is 77734859. The reversal of 77734852 is 25843777.

It can be written as a sum of positive squares in 4 ways, for example, as 3326976 + 74407876 = 1824^2 + 8626^2 .

It is a junction number, because it is equal to n+sod(n) for n = 77734799 and 77734808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77734859) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 769602 + ... + 769702.

It is an arithmetic number, because the mean of its divisors is an integer number (2221611).

Almost surely, 2^77734852 is an apocalyptic number.

It is an amenable number.

77734852 is an abundant number, since it is smaller than the sum of its proper divisors (82221140).

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

77734852 is a wasteful number, since it uses less digits than its factorization.

77734852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 176 counting only the distinct ones).

The product of its digits is 329280, while the sum is 43.

The square root of 77734852 is about 8816.7370381565. The cubic root of 77734852 is about 426.7811788447.

The spelling of 77734852 in words is "seventy-seven million, seven hundred thirty-four thousand, eight hundred fifty-two".