78020597760 has 384 divisors, whose sum is σ = 295123046400. Its totient is φ = 17216962560.

The previous prime is 78020597713. The next prime is 78020597779. The reversal of 78020597760 is 6779502087.

It is a tau number, because it is divible by the number of its divisors (384).

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 31 ways as a sum of consecutive naturals, for example, 6229905 + ... + 6242415.

It is an arithmetic number, because the mean of its divisors is an integer number (768549600).

Almost surely, 2^78020597760 is an apocalyptic number.

78020597760 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 78020597760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147561523200).

78020597760 is an abundant number, since it is smaller than the sum of its proper divisors (217102448640).

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

78020597760 is a wasteful number, since it uses less digits than its factorization.

78020597760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12577 (or 12557 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 51.

The spelling of 78020597760 in words is "seventy-eight billion, twenty million, five hundred ninety-seven thousand, seven hundred sixty".