77338448 has 40 divisors (see below), whose sum is σ = 166569696. Its totient is φ = 34486400.

The previous prime is 77338433. The next prime is 77338517. The reversal of 77338448 is 84483377.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 77338399 and 77338408.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 5183 + ... + 13473.

Almost surely, 2^77338448 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 77338448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83284848).

77338448 is an abundant number, since it is smaller than the sum of its proper divisors (89231248).

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

77338448 is a wasteful number, since it uses less digits than its factorization.

77338448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8363 (or 8357 counting only the distinct ones).

The product of its digits is 451584, while the sum is 44.

The square root of 77338448 is about 8794.2281071166. The cubic root of 77338448 is about 426.0544942667.

Subtracting 77338448 from its reverse (84483377), we obtain a square (7144929 = 2673²).

The spelling of 77338448 in words is "seventy-seven million, three hundred thirty-eight thousand, four hundred forty-eight".