77286851460 has 480 divisors, whose sum is σ = 315965422080. Its totient is φ = 15346962432.

The previous prime is 77286851431. The next prime is 77286851491. The reversal of 77286851460 is 6415868277.

77286851460 is a `hidden beast` number, since 7 + 7 + 2 + 8 + 68 + 514 + 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 = 77286851397 and 77286851406.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2490721 + ... + 2521559.

It is an arithmetic number, because the mean of its divisors is an integer number (658261296).

Almost surely, 2^77286851460 is an apocalyptic number.

77286851460 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 77286851460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157982711040).

77286851460 is an abundant number, since it is smaller than the sum of its proper divisors (238678570620).

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

77286851460 is a wasteful number, since it uses less digits than its factorization.

77286851460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30897 (or 30886 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 77286851460 in words is "seventy-seven billion, two hundred eighty-six million, eight hundred fifty-one thousand, four hundred sixty".