773245440 has 480 divisors, whose sum is σ = 3056429376. Its totient is φ = 185794560.

The previous prime is 773245427. The next prime is 773245477. The reversal of 773245440 is 44542377.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 773245395 and 773245404.

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 47 ways as a sum of consecutive naturals, for example, 6842824 + ... + 6842936.

Almost surely, 2^773245440 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 773245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528214688).

773245440 is an abundant number, since it is smaller than the sum of its proper divisors (2283183936).

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

773245440 is a wasteful number, since it uses less digits than its factorization.

773245440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The square root of 773245440 is about 27807.2911302054. The cubic root of 773245440 is about 917.8515715426.

The spelling of 773245440 in words is "seven hundred seventy-three million, two hundred forty-five thousand, four hundred forty".