77070752 has 48 divisors (see below), whose sum is σ = 166253472. Its totient is φ = 34878720.

The previous prime is 77070751. The next prime is 77070757. The reversal of 77070752 is 25707077.

It is not an unprimeable number, because it can be changed into a prime (77070751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131003 + ... + 131589.

It is an arithmetic number, because the mean of its divisors is an integer number (3463614).

Almost surely, 2^77070752 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 77070752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83126736).

77070752 is an abundant number, since it is smaller than the sum of its proper divisors (89182720).

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

77070752 is a wasteful number, since it uses less digits than its factorization.

77070752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 24010, while the sum is 35.

The square root of 77070752 is about 8778.9949310841. The cubic root of 77070752 is about 425.5623503922.

It can be divided in two parts, 7707075 and 2, that added together give a palindrome (7707077).

The spelling of 77070752 in words is "seventy-seven million, seventy thousand, seven hundred fifty-two".