77652512 has 48 divisors (see below), whose sum is σ = 177613632. Its totient is φ = 32728320.

The previous prime is 77652511. The next prime is 77652521. The reversal of 77652512 is 21525677.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (77652511) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10823 + ... + 16505.

It is an arithmetic number, because the mean of its divisors is an integer number (3700284).

Almost surely, 2^77652512 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 77652512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88806816).

77652512 is an abundant number, since it is smaller than the sum of its proper divisors (99961120).

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

77652512 is a wasteful number, since it uses less digits than its factorization.

77652512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5761 (or 5753 counting only the distinct ones).

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

The square root of 77652512 is about 8812.0662730145. The cubic root of 77652512 is about 426.6304374620.

The spelling of 77652512 in words is "seventy-seven million, six hundred fifty-two thousand, five hundred twelve".