78117648 has 80 divisors (see below), whose sum is σ = 238615680. Its totient is φ = 21547008.

The previous prime is 78117643. The next prime is 78117653. The reversal of 78117648 is 84671187.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (78117643) and next prime (78117653).

It is a super-2 number, since 2×78117648² = 12204733858103808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is not an unprimeable number, because it can be changed into a prime (78117643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5736 + ... + 13752.

It is an arithmetic number, because the mean of its divisors is an integer number (2982696).

Almost surely, 2^78117648 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 78117648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119307840).

78117648 is an abundant number, since it is smaller than the sum of its proper divisors (160498032).

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

78117648 is a wasteful number, since it uses less digits than its factorization.

78117648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8064 (or 8058 counting only the distinct ones).

The product of its digits is 75264, while the sum is 42.

The square root of 78117648 is about 8838.4188631225. The cubic root of 78117648 is about 427.4805763891.

The spelling of 78117648 in words is "seventy-eight million, one hundred seventeen thousand, six hundred forty-eight".