78232845749760 has 960 divisors, whose sum is σ = 301450535305920. Its totient is φ = 18736399319040.

The previous prime is 78232845749753. The next prime is 78232845749777. The reversal of 78232845749760 is 6794754823287.

78232845749760 is a `hidden beast` number, since 7 + 8 + 2 + 3 + 2 + 84 + 57 + 497 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×78232845749760² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 1872877675 + ... + 1872919445.

It is an arithmetic number, because the mean of its divisors is an integer number (314010974277).

Almost surely, 2^{78232845749760} 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 78232845749760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150725267652960).

78232845749760 is an abundant number, since it is smaller than the sum of its proper divisors (223217689556160).

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

78232845749760 is a wasteful number, since it uses less digits than its factorization.

78232845749760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41876 (or 41831 counting only the distinct ones).

The product of its (nonzero) digits is 1137991680, while the sum is 72.

The spelling of 78232845749760 in words is "seventy-eight trillion, two hundred thirty-two billion, eight hundred forty-five million, seven hundred forty-nine thousand, seven hundred sixty".