78001114752 has 512 divisors, whose sum is σ = 261861580800. Its totient is φ = 22832409600.

The previous prime is 78001114727. The next prime is 78001114801. The reversal of 78001114752 is 25741110087.

78001114752 is a `hidden beast` number, since 78 + 0 + 0 + 111 + 475 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142597743 + ... + 142598289.

It is an arithmetic number, because the mean of its divisors is an integer number (511448400).

Almost surely, 2^78001114752 is an apocalyptic number.

78001114752 is a gapful number since it is divisible by the number (72) 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 78001114752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130930790400).

78001114752 is an abundant number, since it is smaller than the sum of its proper divisors (183860466048).

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

78001114752 is a wasteful number, since it uses less digits than its factorization.

78001114752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The spelling of 78001114752 in words is "seventy-eight billion, one million, one hundred fourteen thousand, seven hundred fifty-two".