77609871360 has 480 divisors, whose sum is σ = 317941303680. Its totient is φ = 17738072064.

The previous prime is 77609871281. The next prime is 77609871371. The reversal of 77609871360 is 6317890677.

77609871360 is a `hidden beast` number, since 77 + 60 + 98 + 71 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 77609871297 and 77609871306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5799397 + ... + 5812763.

It is an arithmetic number, because the mean of its divisors is an integer number (662377716).

Almost surely, 2^77609871360 is an apocalyptic number.

77609871360 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 77609871360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158970651840).

77609871360 is an abundant number, since it is smaller than the sum of its proper divisors (240331432320).

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

77609871360 is a wasteful number, since it uses less digits than its factorization.

77609871360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13413 (or 13384 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 77609871360 in words is "seventy-seven billion, six hundred nine million, eight hundred seventy-one thousand, three hundred sixty".