77712448 has 56 divisors (see below), whose sum is σ = 169493184. Its totient is φ = 35059200.

The previous prime is 77712433. The next prime is 77712461. The reversal of 77712448 is 84421777.

It is a self number, because there is not a number n which added to its sum of digits gives 77712448.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117238 + ... + 117898.

It is an arithmetic number, because the mean of its divisors is an integer number (3026664).

Almost surely, 2^77712448 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 77712448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84746592).

77712448 is an abundant number, since it is smaller than the sum of its proper divisors (91780736).

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

77712448 is a wasteful number, since it uses less digits than its factorization.

77712448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 841 counting only the distinct ones).

The product of its digits is 87808, while the sum is 40.

The square root of 77712448 is about 8815.4664085345. The cubic root of 77712448 is about 426.7401739672.

It can be divided in two parts, 777 and 12448, that added together give a square (13225 = 115²).

The spelling of 77712448 in words is "seventy-seven million, seven hundred twelve thousand, four hundred forty-eight".