772788114 has 168 divisors, whose sum is σ = 2097051660. Its totient is φ = 212611392.

The previous prime is 772788103. The next prime is 772788127. The reversal of 772788114 is 411887277.

It can be written as a sum of positive squares in 2 ways, for example, as 771895089 + 893025 = 27783^2 + 945^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 772788114.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2071632 + ... + 2072004.

Almost surely, 2^772788114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 772788114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048525830).

772788114 is an abundant number, since it is smaller than the sum of its proper divisors (1324263546).

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

772788114 is a wasteful number, since it uses less digits than its factorization.

772788114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 414 counting only the distinct ones).

The product of its digits is 175616, while the sum is 45.

The square root of 772788114 is about 27799.0667828976. The cubic root of 772788114 is about 917.6705853827.

The spelling of 772788114 in words is "seven hundred seventy-two million, seven hundred eighty-eight thousand, one hundred fourteen".