78917760 has 128 divisors (see below), whose sum is σ = 279561600. Its totient is φ = 21040128.

The previous prime is 78917753. The next prime is 78917767. The reversal of 78917760 is 6771987.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (78917753) and next prime (78917767).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (78917767) 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, 14997 + ... + 19563.

It is an arithmetic number, because the mean of its divisors is an integer number (2184075).

Almost surely, 2^78917760 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 78917760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139780800).

78917760 is an abundant number, since it is smaller than the sum of its proper divisors (200643840).

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

78917760 is a wasteful number, since it uses less digits than its factorization.

78917760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4595 (or 4577 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The square root of 78917760 is about 8883.5668512147. The cubic root of 78917760 is about 428.9350970326.

It can be divided in two parts, 7891 and 7760, that added together give a palindrome (15651).

The spelling of 78917760 in words is "seventy-eight million, nine hundred seventeen thousand, seven hundred sixty".