77057532 has 144 divisors (see below), whose sum is σ = 219596832. Its totient is φ = 22671360.

The previous prime is 77057503. The next prime is 77057551. The reversal of 77057532 is 23575077.

77057532 is a `hidden beast` number, since 7 + 70 + 57 + 532 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 928363 + ... + 928445.

It is an arithmetic number, because the mean of its divisors is an integer number (1524978).

Almost surely, 2^77057532 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 77057532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109798416).

77057532 is an abundant number, since it is smaller than the sum of its proper divisors (142539300).

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

77057532 is a wasteful number, since it uses less digits than its factorization.

77057532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 51450, while the sum is 36.

The square root of 77057532 is about 8778.2419652229. The cubic root of 77057532 is about 425.5380166649.

The spelling of 77057532 in words is "seventy-seven million, fifty-seven thousand, five hundred thirty-two".