772213781250 has 126 divisors (see below), whose sum is σ = 2092648467663. Its totient is φ = 205799400000.

The previous prime is 772213781239. The next prime is 772213781263. The reversal of 772213781250 is 52187312277.

772213781250 is a `hidden beast` number, since 7 + 7 + 2 + 21 + 378 + 1 + 250 = 666.

It can be written as a sum of positive squares in 11 ways, for example, as 749105829081 + 23107952169 = 865509^2 + 152013^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=621375.

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

It is a junction number, because it is equal to n+sod(n) for n = 772213781196 and 772213781205.

It is an unprimeable number.

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 62 ways as a sum of consecutive naturals, for example, 466030422 + ... + 466032078.

Almost surely, 2^772213781250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 772213781250

772213781250 is an abundant number, since it is smaller than the sum of its proper divisors (1320434686413).

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

772213781250 is an frugal number, since it uses more digits than its factorization.

772213781250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3352 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 772213781250 in words is "seven hundred seventy-two billion, two hundred thirteen million, seven hundred eighty-one thousand, two hundred fifty".