78451752960 has 720 divisors, whose sum is σ = 322892833536. Its totient is φ = 17899978752.

The previous prime is 78451752959. The next prime is 78451753001. The reversal of 78451752960 is 6925715487.

78451752960 is a `hidden beast` number, since 7 + 8 + 4 + 51 + 7 + 529 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a junction number, because it is equal to n+sod(n) for n = 78451752897 and 78451752906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139345639 + ... + 139346201.

Almost surely, 2^78451752960 is an apocalyptic number.

78451752960 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 78451752960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161446416768).

78451752960 is an abundant number, since it is smaller than the sum of its proper divisors (244441080576).

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

78451752960 is an frugal number, since it uses more digits than its factorization.

78451752960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 78451752960 in words is "seventy-eight billion, four hundred fifty-one million, seven hundred fifty-two thousand, nine hundred sixty".