78252244776 has 320 divisors, whose sum is σ = 237398515200. Its totient is φ = 24018508800.

The previous prime is 78252244771. The next prime is 78252244843. The reversal of 78252244776 is 67744225287.

78252244776 is a `hidden beast` number, since 7 + 8 + 2 + 522 + 4 + 47 + 76 = 666.

It is a super-2 number, since 2×78252244776² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (78252244771) 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 79 ways as a sum of consecutive naturals, for example, 48273246 + ... + 48274866.

It is an arithmetic number, because the mean of its divisors is an integer number (741870360).

Almost surely, 2^78252244776 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 78252244776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118699257600).

78252244776 is an abundant number, since it is smaller than the sum of its proper divisors (159146270424).

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

78252244776 is a wasteful number, since it uses less digits than its factorization.

78252244776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782 (or 1769 counting only the distinct ones).

The product of its digits is 10536960, while the sum is 54.

The spelling of 78252244776 in words is "seventy-eight billion, two hundred fifty-two million, two hundred forty-four thousand, seven hundred seventy-six".