77000752 has 40 divisors (see below), whose sum is σ = 159244272. Its totient is φ = 35942400.

The previous prime is 77000719. The next prime is 77000779. The reversal of 77000752 is 25700077.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 77000752.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 34552 + ... + 36712.

Almost surely, 2^77000752 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 77000752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79622136).

77000752 is an abundant number, since it is smaller than the sum of its proper divisors (82243520).

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

77000752 is a wasteful number, since it uses less digits than its factorization.

77000752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 3430, while the sum is 28.

The square root of 77000752 is about 8775.0072364643. The cubic root of 77000752 is about 425.4334714634.

It can be divided in two parts, 7700075 and 2, that added together give a palindrome (7700077).

The spelling of 77000752 in words is "seventy-seven million, seven hundred fifty-two", and thus it is an aban number.