77384859552 has 864 divisors, whose sum is σ = 310698146304. Its totient is φ = 17940787200.

The previous prime is 77384859547. The next prime is 77384859577. The reversal of 77384859552 is 25595848377.

77384859552 is a `hidden beast` number, since 7 + 7 + 38 + 4 + 8 + 595 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 77384859552.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 62557878 + ... + 62559114.

It is an arithmetic number, because the mean of its divisors is an integer number (359604336).

Almost surely, 2^77384859552 is an apocalyptic number.

77384859552 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 77384859552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155349073152).

77384859552 is an abundant number, since it is smaller than the sum of its proper divisors (233313286752).

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

77384859552 is a wasteful number, since it uses less digits than its factorization.

77384859552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1304 counting only the distinct ones).

The product of its digits is 84672000, while the sum is 63.

The spelling of 77384859552 in words is "seventy-seven billion, three hundred eighty-four million, eight hundred fifty-nine thousand, five hundred fifty-two".