78145000 has 40 divisors (see below), whose sum is σ = 183105450. Its totient is φ = 31256000.

The previous prime is 78144959. The next prime is 78145009. The reversal of 78145000 is 54187.

It can be written as a sum of positive squares in 5 ways, for example, as 17023876 + 61121124 = 4126^2 + 7818^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×78145000² = 12213282050000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (78145009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2815 + ... + 12814.

Almost surely, 2^78145000 is an apocalyptic number.

It is an amenable number.

78145000 is an abundant number, since it is smaller than the sum of its proper divisors (104960450).

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

78145000 is a wasteful number, since it uses less digits than its factorization.

78145000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15655 (or 15636 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 78145000 is about 8839.9660632833. The cubic root of 78145000 is about 427.5304630436.

Adding to 78145000 its reverse (54187), we get a palindrome (78199187).

The spelling of 78145000 in words is "seventy-eight million, one hundred forty-five thousand".