77852712 has 64 divisors (see below), whose sum is σ = 223879680. Its totient is φ = 22099392.

The previous prime is 77852711. The next prime is 77852717. The reversal of 77852712 is 21725877.

It is a super-2 number, since 2×77852712² = 12122089531509888, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (77852711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25963 + ... + 28805.

It is an arithmetic number, because the mean of its divisors is an integer number (3498120).

Almost surely, 2^77852712 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 77852712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111939840).

77852712 is an abundant number, since it is smaller than the sum of its proper divisors (146026968).

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

77852712 is a wasteful number, since it uses less digits than its factorization.

77852712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3022 (or 3018 counting only the distinct ones).

The product of its digits is 54880, while the sum is 39.

The square root of 77852712 is about 8823.4183851838. The cubic root of 77852712 is about 426.9967622385.

The spelling of 77852712 in words is "seventy-seven million, eight hundred fifty-two thousand, seven hundred twelve".