776448 has 54 divisors (see below), whose sum is σ = 2245334. Its totient is φ = 258048.

The previous prime is 776429. The next prime is 776449. The reversal of 776448 is 844677.

It is a happy number.

776448 is a `hidden beast` number, since 7 + 7 + 644 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 589824 + 186624 = 768^2 + 432^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (776449) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2136 + ... + 2472.

2⁷⁷⁶⁴⁴⁸ 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 776448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122667).

776448 is an abundant number, since it is smaller than the sum of its proper divisors (1468886).

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

776448 is a wasteful number, since it uses less digits than its factorization.

776448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 342 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 776448 is about 881.1628680329. The cubic root of 776448 is about 91.9116985143.

The spelling of 776448 in words is "seven hundred seventy-six thousand, four hundred forty-eight".