77746583772 has 144 divisors (see below), whose sum is σ = 234797996160. Its totient is φ = 21378614400.

The previous prime is 77746583767. The next prime is 77746583839. The reversal of 77746583772 is 27738564777.

77746583772 is a `hidden beast` number, since 7 + 7 + 7 + 46 + 583 + 7 + 7 + 2 = 666.

It is a super-2 number, since 2×77746583772² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 175747 + ... + 431717.

It is an arithmetic number, because the mean of its divisors is an integer number (1630541640).

Almost surely, 2^77746583772 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 77746583772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117398998080).

77746583772 is an abundant number, since it is smaller than the sum of its proper divisors (157051412388).

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

77746583772 is a wasteful number, since it uses less digits than its factorization.

77746583772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256064 (or 256059 counting only the distinct ones).

The product of its digits is 96808320, while the sum is 63.

The spelling of 77746583772 in words is "seventy-seven billion, seven hundred forty-six million, five hundred eighty-three thousand, seven hundred seventy-two".