77382126360 has 1024 divisors, whose sum is σ = 332862566400. Its totient is φ = 15527116800.

The previous prime is 77382126359. The next prime is 77382126391. The reversal of 77382126360 is 6362128377.

77382126360 is a `hidden beast` number, since 7 + 7 + 3 + 8 + 2 + 1 + 2 + 636 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 427525470 + ... + 427525650.

It is an arithmetic number, because the mean of its divisors is an integer number (325061100).

Almost surely, 2^77382126360 is an apocalyptic number.

77382126360 is a gapful number since it is divisible by the number (70) 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 77382126360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166431283200).

77382126360 is an abundant number, since it is smaller than the sum of its proper divisors (255480440040).

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

77382126360 is a wasteful number, since it uses less digits than its factorization.

77382126360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 77382126360 in words is "seventy-seven billion, three hundred eighty-two million, one hundred twenty-six thousand, three hundred sixty".