78233411520 has 448 divisors, whose sum is σ = 303612986880. Its totient is φ = 18962887680.

The previous prime is 78233411491. The next prime is 78233411527. The reversal of 78233411520 is 2511433287.

78233411520 is a `hidden beast` number, since 7 + 8 + 233 + 411 + 5 + 2 + 0 = 666.

It is a super-2 number, since 2×78233411520² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78233411527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11496439 + ... + 11503241.

It is an arithmetic number, because the mean of its divisors is an integer number (677707560).

Almost surely, 2^78233411520 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 78233411520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151806493440).

78233411520 is an abundant number, since it is smaller than the sum of its proper divisors (225379575360).

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

78233411520 is a wasteful number, since it uses less digits than its factorization.

78233411520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6862 (or 6824 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 78233411520 in words is "seventy-eight billion, two hundred thirty-three million, four hundred eleven thousand, five hundred twenty".