773146440 has 144 divisors (see below), whose sum is σ = 2762077500. Its totient is φ = 187418880.

The previous prime is 773146427. The next prime is 773146441. The reversal of 773146440 is 44641377.

It is a happy number.

773146440 is a `hidden beast` number, since 7 + 7 + 3 + 1 + 4 + 644 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 686544804 + 86601636 = 26202^2 + 9306^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 773146395 and 773146404.

It is not an unprimeable number, because it can be changed into a prime (773146441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34686 + ... + 52434.

Almost surely, 2^773146440 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 773146440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381038750).

773146440 is an abundant number, since it is smaller than the sum of its proper divisors (1988931060).

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

773146440 is a wasteful number, since it uses less digits than its factorization.

773146440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17788 (or 17770 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 773146440 is about 27805.5109645552. The cubic root of 773146440 is about 917.8123984766.

The spelling of 773146440 in words is "seven hundred seventy-three million, one hundred forty-six thousand, four hundred forty".