77526152 has 36 divisors (see below), whose sum is σ = 160344135. Its totient is φ = 35114640.

The previous prime is 77526151. The next prime is 77526157. The reversal of 77526152 is 25162577.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 38763076 + 38763076 = 6226^2 + 6226^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6226.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77526151) 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 8 ways as a sum of consecutive naturals, for example, 273803 + ... + 274085.

Almost surely, 2^77526152 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 77526152

77526152 is an abundant number, since it is smaller than the sum of its proper divisors (82817983).

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

77526152 is a wasteful number, since it uses less digits than its factorization.

77526152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 296 counting only the distinct ones).

The product of its digits is 29400, while the sum is 35.

The square root of 77526152 is about 8804.8936393349. The cubic root of 77526152 is about 426.3989004591.

The spelling of 77526152 in words is "seventy-seven million, five hundred twenty-six thousand, one hundred fifty-two".