77798952 has 96 divisors (see below), whose sum is σ = 262716480. Its totient is φ = 20206080.

The previous prime is 77798927. The next prime is 77798969. The reversal of 77798952 is 25989777.

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 23 ways as a sum of consecutive naturals, for example, 1473 + ... + 12560.

It is an arithmetic number, because the mean of its divisors is an integer number (2736630).

Almost surely, 2^77798952 is an apocalyptic number.

77798952 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77798952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131358240).

77798952 is an abundant number, since it is smaller than the sum of its proper divisors (184917528).

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

77798952 is a wasteful number, since it uses less digits than its factorization.

77798952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14063 (or 14056 counting only the distinct ones).

The product of its digits is 2222640, while the sum is 54.

The square root of 77798952 is about 8820.3714207509. The cubic root of 77798952 is about 426.8984542447.

The spelling of 77798952 in words is "seventy-seven million, seven hundred ninety-eight thousand, nine hundred fifty-two".