78101296 has 120 divisors (see below), whose sum is σ = 193945920. Its totient is φ = 30191616.

The previous prime is 78101293. The next prime is 78101299. The reversal of 78101296 is 69210187.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (78101293) and next prime (78101299).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78101291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 805120 + ... + 805216.

It is an arithmetic number, because the mean of its divisors is an integer number (1616216).

Almost surely, 2^78101296 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 78101296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96972960).

78101296 is an abundant number, since it is smaller than the sum of its proper divisors (115844624).

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

78101296 is a wasteful number, since it uses less digits than its factorization.

78101296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The square root of 78101296 is about 8837.4937623740. The cubic root of 78101296 is about 427.4507468079.

The spelling of 78101296 in words is "seventy-eight million, one hundred one thousand, two hundred ninety-six".