772308293328 has 1200 divisors, whose sum is σ = 2825034741760. Its totient is φ = 201755473920.

The previous prime is 772308293321. The next prime is 772308293333. The reversal of 772308293328 is 823392803277.

772308293328 is a `hidden beast` number, since 7 + 7 + 2 + 308 + 2 + 9 + 3 + 328 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772308293321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4919161026 + ... + 4919161182.

Almost surely, 2^772308293328 is an apocalyptic number.

772308293328 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 772308293328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412517370880).

772308293328 is an abundant number, since it is smaller than the sum of its proper divisors (2052726448432).

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

772308293328 is a wasteful number, since it uses less digits than its factorization.

772308293328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 772308293328 in words is "seven hundred seventy-two billion, three hundred eight million, two hundred ninety-three thousand, three hundred twenty-eight".