78112765721700 has 288 divisors, whose sum is σ = 251477935632000. Its totient is φ = 20800238722560.

The previous prime is 78112765721699. The next prime is 78112765721723. The reversal of 78112765721700 is 712756721187.

It is a super-2 number, since 2×78112765721700² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10629029626 + ... + 10629036974.

It is an arithmetic number, because the mean of its divisors is an integer number (873187276500).

Almost surely, 2^{78112765721700} 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 78112765721700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125738967816000).

78112765721700 is an abundant number, since it is smaller than the sum of its proper divisors (173365169910300).

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

78112765721700 is a wasteful number, since it uses less digits than its factorization.

78112765721700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12476 (or 12463 counting only the distinct ones).

The product of its (nonzero) digits is 2304960, while the sum is 54.

The spelling of 78112765721700 in words is "seventy-eight trillion, one hundred twelve billion, seven hundred sixty-five million, seven hundred twenty-one thousand, seven hundred".