78140160 has 576 divisors, whose sum is σ = 353203200. Its totient is φ = 15925248.

The previous prime is 78140147. The next prime is 78140197. The reversal of 78140160 is 6104187.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×78140160² = 12211769209651200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4112631 + ... + 4112649.

It is an arithmetic number, because the mean of its divisors is an integer number (613200).

Almost surely, 2^78140160 is an apocalyptic number.

78140160 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176601600).

78140160 is an abundant number, since it is smaller than the sum of its proper divisors (275063040).

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

78140160 is a wasteful number, since it uses less digits than its factorization.

78140160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 53 counting only the distinct ones).

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

The square root of 78140160 is about 8839.6923023372. The cubic root of 78140160 is about 427.5216363318.

The spelling of 78140160 in words is "seventy-eight million, one hundred forty thousand, one hundred sixty".