772830744 has 384 divisors, whose sum is σ = 2600294400. Its totient is φ = 189665280.

The previous prime is 772830697. The next prime is 772830749. The reversal of 772830744 is 447038277.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 772830696 and 772830705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772830749) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17972787 + ... + 17972829.

It is an arithmetic number, because the mean of its divisors is an integer number (6771600).

Almost surely, 2^772830744 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 772830744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300147200).

772830744 is an abundant number, since it is smaller than the sum of its proper divisors (1827463656).

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

772830744 is a wasteful number, since it uses less digits than its factorization.

772830744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 132 counting only the distinct ones).

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

The square root of 772830744 is about 27799.8335246814. The cubic root of 772830744 is about 917.6874591661.

The spelling of 772830744 in words is "seven hundred seventy-two million, eight hundred thirty thousand, seven hundred forty-four".