77770752 has 52 divisors (see below), whose sum is σ = 207396120. Its totient is φ = 25919488.

The previous prime is 77770741. The next prime is 77770753. The reversal of 77770752 is 25707777.

It is not an unprimeable number, because it can be changed into a prime (77770753) 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 3 ways as a sum of consecutive naturals, for example, 9124 + ... + 15452.

Almost surely, 2^77770752 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 77770752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103698060).

77770752 is an abundant number, since it is smaller than the sum of its proper divisors (129625368).

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

77770752 is an equidigital number, since it uses as much as digits as its factorization.

77770752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6356 (or 6334 counting only the distinct ones).

The product of its (nonzero) digits is 168070, while the sum is 42.

The square root of 77770752 is about 8818.7727037270. The cubic root of 77770752 is about 426.8468683260.

The spelling of 77770752 in words is "seventy-seven million, seven hundred seventy thousand, seven hundred fifty-two".