78110640 has 120 divisors (see below), whose sum is σ = 264374448. Its totient is φ = 20666880.

The previous prime is 78110629. The next prime is 78110647. The reversal of 78110640 is 4601187.

It is a happy number.

78110640 is a `hidden beast` number, since 7 + 8 + 1 + 10 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×78110640² = 12202544162419200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78110647) 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, 112695 + ... + 113385.

Almost surely, 2^78110640 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 78110640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132187224).

78110640 is an abundant number, since it is smaller than the sum of its proper divisors (186263808).

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

78110640 is a wasteful number, since it uses less digits than its factorization.

78110640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 78110640 is about 8838.0224032303. The cubic root of 78110640 is about 427.4677927927.

The spelling of 78110640 in words is "seventy-eight million, one hundred ten thousand, six hundred forty".