78093075060 has 576 divisors, whose sum is σ = 320123381760. Its totient is φ = 14881397760.

The previous prime is 78093075029. The next prime is 78093075077. The reversal of 78093075060 is 6057039087.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 78093074997 and 78093075015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29368011 + ... + 29370669.

It is an arithmetic number, because the mean of its divisors is an integer number (555769760).

Almost surely, 2^78093075060 is an apocalyptic number.

78093075060 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 78093075060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160061690880).

78093075060 is an abundant number, since it is smaller than the sum of its proper divisors (242030306700).

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

78093075060 is a wasteful number, since it uses less digits than its factorization.

78093075060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2868 (or 2863 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 78093075060 in words is "seventy-eight billion, ninety-three million, seventy-five thousand, sixty".