77856552 has 80 divisors (see below), whose sum is σ = 219912660. Its totient is φ = 25733376.

The previous prime is 77856551. The next prime is 77856589. The reversal of 77856552 is 25565877.

It can be written as a sum of positive squares in 2 ways, for example, as 73719396 + 4137156 = 8586^2 + 2034^2 .

It is a junction number, because it is equal to n+sod(n) for n = 77856498 and 77856507.

It is not an unprimeable number, because it can be changed into a prime (77856551) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 88338 + ... + 89214.

Almost surely, 2^77856552 is an apocalyptic number.

77856552 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 77856552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109956330).

77856552 is an abundant number, since it is smaller than the sum of its proper divisors (142056108).

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

77856552 is a wasteful number, since it uses less digits than its factorization.

77856552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1019 counting only the distinct ones).

The product of its digits is 588000, while the sum is 45.

The square root of 77856552 is about 8823.6359852387. The cubic root of 77856552 is about 427.0037825061.

The spelling of 77856552 in words is "seventy-seven million, eight hundred fifty-six thousand, five hundred fifty-two".