77995752 has 64 divisors (see below), whose sum is σ = 203980800. Its totient is φ = 24822720.

The previous prime is 77995751. The next prime is 77995763. The reversal of 77995752 is 25759977.

It is a junction number, because it is equal to n+sod(n) for n = 77995695 and 77995704.

It is not an unprimeable number, because it can be changed into a prime (77995751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58113 + ... + 59439.

It is an arithmetic number, because the mean of its divisors is an integer number (3187200).

Almost surely, 2^77995752 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 77995752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101990400).

77995752 is an abundant number, since it is smaller than the sum of its proper divisors (125985048).

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

77995752 is a wasteful number, since it uses less digits than its factorization.

77995752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1442 counting only the distinct ones).

The product of its digits is 1389150, while the sum is 51.

The square root of 77995752 is about 8831.5203674113. The cubic root of 77995752 is about 427.2581115101.

The spelling of 77995752 in words is "seventy-seven million, nine hundred ninety-five thousand, seven hundred fifty-two".