78146768 has 60 divisors (see below), whose sum is σ = 177265440. Its totient is φ = 33276096.

The previous prime is 78146767. The next prime is 78146777. The reversal of 78146768 is 86764187.

It is a super-2 number, since 2×78146768² = 12213834697691648, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78146767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 206003 + ... + 206381.

It is an arithmetic number, because the mean of its divisors is an integer number (2954424).

Almost surely, 2^78146768 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 78146768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88632720).

78146768 is an abundant number, since it is smaller than the sum of its proper divisors (99118672).

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

78146768 is a wasteful number, since it uses less digits than its factorization.

78146768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 651 counting only the distinct ones).

The product of its digits is 451584, while the sum is 47.

The square root of 78146768 is about 8840.0660631016. The cubic root of 78146768 is about 427.5336872556.

The spelling of 78146768 in words is "seventy-eight million, one hundred forty-six thousand, seven hundred sixty-eight".