78952734720 has 560 divisors, whose sum is σ = 289025609400. Its totient is φ = 20610809856.

The previous prime is 78952734701. The next prime is 78952734739. The reversal of 78952734720 is 2743725987.

78952734720 is a `hidden beast` number, since 7 + 89 + 527 + 34 + 7 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (78952734701) and next prime (78952734739).

It can be written as a sum of positive squares in 4 ways, for example, as 72356696064 + 6596038656 = 268992^2 + 81216^2 .

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 39 ways as a sum of consecutive naturals, for example, 175841056 + ... + 175841504.

Almost surely, 2^78952734720 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 78952734720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144512804700).

78952734720 is an abundant number, since it is smaller than the sum of its proper divisors (210072874680).

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

78952734720 is an equidigital number, since it uses as much as digits as its factorization.

78952734720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 78952734720 in words is "seventy-eight billion, nine hundred fifty-two million, seven hundred thirty-four thousand, seven hundred twenty".