78566429760 has 896 divisors, whose sum is σ = 322390032384. Its totient is φ = 15765995520.

The previous prime is 78566429741. The next prime is 78566429779. The reversal of 78566429760 is 6792466587.

It is an interprime number because it is at equal distance from previous prime (78566429741) and next prime (78566429779).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 78566429694 and 78566429703.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 181446504 + ... + 181446936.

It is an arithmetic number, because the mean of its divisors is an integer number (359810304).

Almost surely, 2^78566429760 is an apocalyptic number.

78566429760 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 78566429760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161195016192).

78566429760 is an abundant number, since it is smaller than the sum of its proper divisors (243823602624).

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

78566429760 is a wasteful number, since it uses less digits than its factorization.

78566429760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 78566429760 in words is "seventy-eight billion, five hundred sixty-six million, four hundred twenty-nine thousand, seven hundred sixty".