775157340672 has 1280 divisors, whose sum is σ = 2814059888640. Its totient is φ = 210153553920.

The previous prime is 775157340647. The next prime is 775157340677. The reversal of 775157340672 is 276043751577.

775157340672 is a `hidden beast` number, since 7 + 7 + 5 + 1 + 573 + 4 + 0 + 67 + 2 = 666.

It is a super-3 number, since 3×775157340672³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (775157340677) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 7525799373 + ... + 7525799475.

It is an arithmetic number, because the mean of its divisors is an integer number (2198484288).

Almost surely, 2^775157340672 is an apocalyptic number.

775157340672 is a gapful number since it is divisible by the number (72) 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 775157340672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407029944320).

775157340672 is an abundant number, since it is smaller than the sum of its proper divisors (2038902547968).

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

775157340672 is a wasteful number, since it uses less digits than its factorization.

775157340672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 8643600, while the sum is 54.

The spelling of 775157340672 in words is "seven hundred seventy-five billion, one hundred fifty-seven million, three hundred forty thousand, six hundred seventy-two".