77879150460 has 384 divisors, whose sum is σ = 264963686400. Its totient is φ = 18930827520.

The previous prime is 77879150357. The next prime is 77879150497. The reversal of 77879150460 is 6405197877.

77879150460 is a `hidden beast` number, since 7 + 7 + 8 + 79 + 1 + 504 + 60 = 666.

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 = 77879150397 and 77879150406.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 25794831 + ... + 25797849.

It is an arithmetic number, because the mean of its divisors is an integer number (690009600).

Almost surely, 2^77879150460 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 77879150460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132481843200).

77879150460 is an abundant number, since it is smaller than the sum of its proper divisors (187084535940).

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

77879150460 is a wasteful number, since it uses less digits than its factorization.

77879150460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3158 (or 3150 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 77879150460 in words is "seventy-seven billion, eight hundred seventy-nine million, one hundred fifty thousand, four hundred sixty".