772250772384 has 576 divisors, whose sum is σ = 2787380563968. Its totient is φ = 197377689600.

The previous prime is 772250772383. The next prime is 772250772439. The reversal of 772250772384 is 483277052277.

772250772384 is a `hidden beast` number, since 7 + 7 + 2 + 250 + 7 + 7 + 2 + 384 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 772250772384.

It is not an unprimeable number, because it can be changed into a prime (772250772383) 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, 147627049 + ... + 147632279.

It is an arithmetic number, because the mean of its divisors is an integer number (4839202368).

Almost surely, 2^772250772384 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 772250772384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393690281984).

772250772384 is an abundant number, since it is smaller than the sum of its proper divisors (2015129791584).

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

772250772384 is a wasteful number, since it uses less digits than its factorization.

772250772384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5441 (or 5430 counting only the distinct ones).

The product of its (nonzero) digits is 9219840, while the sum is 54.

The spelling of 772250772384 in words is "seven hundred seventy-two billion, two hundred fifty million, seven hundred seventy-two thousand, three hundred eighty-four".