772639826055840 has 1920 divisors, whose sum is σ = 2919018889543680. Its totient is φ = 192138515251200.

The previous prime is 772639826055743. The next prime is 772639826055859. The reversal of 772639826055840 is 48550628936277.

772639826055840 is a `hidden beast` number, since 7 + 7 + 2 + 6 + 3 + 9 + 8 + 2 + 60 + 558 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 562738401394 + ... + 562738402766.

It is an arithmetic number, because the mean of its divisors is an integer number (1520322338304).

Almost surely, 2^{772639826055840} 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 772639826055840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459509444771840).

772639826055840 is an abundant number, since it is smaller than the sum of its proper divisors (2146379063487840).

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

772639826055840 is a wasteful number, since it uses less digits than its factorization.

772639826055840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1868 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 1219276800, while the sum is 72.

The spelling of 772639826055840 in words is "seven hundred seventy-two trillion, six hundred thirty-nine billion, eight hundred twenty-six million, fifty-five thousand, eight hundred forty".