77868448 has 72 divisors (see below), whose sum is σ = 181891332. Its totient is φ = 32707584.

The previous prime is 77868437. The next prime is 77868467. The reversal of 77868448 is 84486877.

It can be written as a sum of positive squares in 2 ways, for example, as 75829264 + 2039184 = 8708^2 + 1428^2 .

It is a junction number, because it is equal to n+sod(n) for n = 77868395 and 77868404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82636 + ... + 83572.

Almost surely, 2^77868448 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 77868448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90945666).

77868448 is an abundant number, since it is smaller than the sum of its proper divisors (104022884).

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

77868448 is a wasteful number, since it uses less digits than its factorization.

77868448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 999 counting only the distinct ones).

The product of its digits is 2408448, while the sum is 52.

The square root of 77868448 is about 8824.3100580159. The cubic root of 77868448 is about 427.0255292449.

The spelling of 77868448 in words is "seventy-seven million, eight hundred sixty-eight thousand, four hundred forty-eight".