78130000 has 100 divisors (see below), whose sum is σ = 204050308. Its totient is φ = 28800000.

The previous prime is 78129971. The next prime is 78130021. The reversal of 78130000 is 3187.

It can be written as a sum of positive squares in 10 ways, for example, as 60590656 + 17539344 = 7784^2 + 4188^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×78130000² = 12208593800000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78130000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 129700 + ... + 130300.

Almost surely, 2^78130000 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 78130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102025154).

78130000 is an abundant number, since it is smaller than the sum of its proper divisors (125920308).

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

78130000 is a wasteful number, since it uses less digits than its factorization.

78130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 78130000 is about 8839.1176030190. The cubic root of 78130000 is about 427.5031063463.

Adding to 78130000 its reverse (3187), we get a palindrome (78133187).

The spelling of 78130000 in words is "seventy-eight million, one hundred thirty thousand".