772783440 has 480 divisors, whose sum is σ = 2992308480. Its totient is φ = 163553280.

The previous prime is 772783423. The next prime is 772783477. The reversal of 772783440 is 44387277.

It is a junction number, because it is equal to n+sod(n) for n = 772783392 and 772783401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8682916 + ... + 8683004.

It is an arithmetic number, because the mean of its divisors is an integer number (6233976).

Almost surely, 2^772783440 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 772783440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496154240).

772783440 is an abundant number, since it is smaller than the sum of its proper divisors (2219525040).

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

772783440 is a wasteful number, since it uses less digits than its factorization.

772783440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 42.

The square root of 772783440 is about 27798.9827152002. The cubic root of 772783440 is about 917.6687352848.

The spelling of 772783440 in words is "seven hundred seventy-two million, seven hundred eighty-three thousand, four hundred forty".