78619968 has 336 divisors, whose sum is σ = 289096704. Its totient is φ = 19906560.

The previous prime is 78619939. The next prime is 78619969. The reversal of 78619968 is 86991687.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78619969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2124846 + ... + 2124882.

Almost surely, 2^78619968 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 78619968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144548352).

78619968 is an abundant number, since it is smaller than the sum of its proper divisors (210476736).

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

78619968 is a wasteful number, since it uses less digits than its factorization.

78619968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 97 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The square root of 78619968 is about 8866.7901745784. The cubic root of 78619968 is about 428.3948956753.

The spelling of 78619968 in words is "seventy-eight million, six hundred nineteen thousand, nine hundred sixty-eight".