77628992 has 56 divisors (see below), whose sum is σ = 177027840. Its totient is φ = 33085440.

The previous prime is 77628977. The next prime is 77629063. The reversal of 77628992 is 29982677.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 77628992.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 107609 + ... + 108327.

Almost surely, 2^77628992 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 77628992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88513920).

77628992 is an abundant number, since it is smaller than the sum of its proper divisors (99398848).

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

77628992 is a wasteful number, since it uses less digits than its factorization.

77628992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 969 counting only the distinct ones).

The product of its digits is 762048, while the sum is 50.

The square root of 77628992 is about 8810.7316381785. The cubic root of 77628992 is about 426.5873593915.

The spelling of 77628992 in words is "seventy-seven million, six hundred twenty-eight thousand, nine hundred ninety-two".