77761992 has 128 divisors (see below), whose sum is σ = 250905600. Its totient is φ = 19488000.

The previous prime is 77761987. The next prime is 77761997. The reversal of 77761992 is 29916777.

It is an interprime number because it is at equal distance from previous prime (77761987) and next prime (77761997).

It is not an unprimeable number, because it can be changed into a prime (77761997) 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 31 ways as a sum of consecutive naturals, for example, 52867 + ... + 54317.

It is an arithmetic number, because the mean of its divisors is an integer number (1960200).

Almost surely, 2^77761992 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 77761992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125452800).

77761992 is an abundant number, since it is smaller than the sum of its proper divisors (173143608).

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

77761992 is a wasteful number, since it uses less digits than its factorization.

77761992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1503 counting only the distinct ones).

The product of its digits is 333396, while the sum is 48.

The square root of 77761992 is about 8818.2760219898. The cubic root of 77761992 is about 426.8308412255.

The spelling of 77761992 in words is "seventy-seven million, seven hundred sixty-one thousand, nine hundred ninety-two".