772677623952 has 160 divisors (see below), whose sum is σ = 2389050840960. Its totient is φ = 237689786880.

The previous prime is 772677623903. The next prime is 772677623981. The reversal of 772677623952 is 259326776277.

772677623952 is a `hidden beast` number, since 77 + 267 + 76 + 239 + 5 + 2 = 666.

It is a super-3 number, since 3×772677623952³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 772677623952.

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 31 ways as a sum of consecutive naturals, for example, 27375127 + ... + 27403337.

It is an arithmetic number, because the mean of its divisors is an integer number (14931567756).

Almost surely, 2^772677623952 is an apocalyptic number.

772677623952 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 772677623952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194525420480).

772677623952 is an abundant number, since it is smaller than the sum of its proper divisors (1616373217008).

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

772677623952 is a wasteful number, since it uses less digits than its factorization.

772677623952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33118 (or 33106 counting only the distinct ones).

The product of its digits is 93350880, while the sum is 63.

The spelling of 772677623952 in words is "seven hundred seventy-two billion, six hundred seventy-seven million, six hundred twenty-three thousand, nine hundred fifty-two".