77752052 has 48 divisors (see below), whose sum is σ = 163511040. Its totient is φ = 31629312.

The previous prime is 77752049. The next prime is 77752079. The reversal of 77752052 is 25025777.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 100724 + ... + 101492.

It is an arithmetic number, because the mean of its divisors is an integer number (3406480).

Almost surely, 2^77752052 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 77752052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81755520).

77752052 is an abundant number, since it is smaller than the sum of its proper divisors (85758988).

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

77752052 is a wasteful number, since it uses less digits than its factorization.

77752052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 34300, while the sum is 35.

The square root of 77752052 is about 8817.7124017514. The cubic root of 77752052 is about 426.8126537655.

It can be divided in two parts, 777 and 52052, that multiplied together give a palindrome (40444404).

The spelling of 77752052 in words is "seventy-seven million, seven hundred fifty-two thousand, fifty-two".