77816448 has 96 divisors (see below), whose sum is σ = 231254400. Its totient is φ = 25090560.

The previous prime is 77816441. The next prime is 77816471. The reversal of 77816448 is 84461877.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (77816441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34623 + ... + 36801.

It is an arithmetic number, because the mean of its divisors is an integer number (2408900).

Almost surely, 2^77816448 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 77816448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115627200).

77816448 is an abundant number, since it is smaller than the sum of its proper divisors (153437952).

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

77816448 is a wasteful number, since it uses less digits than its factorization.

77816448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230 (or 2215 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 77816448 is about 8821.3631599657. The cubic root of 77816448 is about 426.9304531999.

The spelling of 77816448 in words is "seventy-seven million, eight hundred sixteen thousand, four hundred forty-eight".