772133822460 has 2304 divisors, whose sum is σ = 3459494707200. Its totient is φ = 138910464000.

The previous prime is 772133822443. The next prime is 772133822477. The reversal of 772133822460 is 64228331277.

772133822460 is a `hidden beast` number, since 7 + 7 + 21 + 3 + 382 + 246 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (772133822443) and next prime (772133822477).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 10875124225 + ... + 10875124295.

It is an arithmetic number, because the mean of its divisors is an integer number (1501516800).

Almost surely, 2^772133822460 is an apocalyptic number.

772133822460 is a gapful number since it is divisible by the number (70) 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 772133822460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729747353600).

772133822460 is an abundant number, since it is smaller than the sum of its proper divisors (2687360884740).

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

772133822460 is a wasteful number, since it uses less digits than its factorization.

772133822460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 772133822460 in words is "seven hundred seventy-two billion, one hundred thirty-three million, eight hundred twenty-two thousand, four hundred sixty".