772823040 has 192 divisors, whose sum is σ = 2698375680. Its totient is φ = 187269120.

The previous prime is 772823039. The next prime is 772823137. The reversal of 772823040 is 40328277.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 772822992 and 772823010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 336777 + ... + 339063.

It is an arithmetic number, because the mean of its divisors is an integer number (14054040).

Almost surely, 2^772823040 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 772823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349187840).

772823040 is an abundant number, since it is smaller than the sum of its proper divisors (1925552640).

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

772823040 is a wasteful number, since it uses less digits than its factorization.

772823040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2328 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 772823040 is about 27799.6949623553. The cubic root of 772823040 is about 917.6844098190.

The spelling of 772823040 in words is "seven hundred seventy-two million, eight hundred twenty-three thousand, forty".