78190000 has 100 divisors (see below), whose sum is σ = 216543184. Its totient is φ = 26784000.

The previous prime is 78189977. The next prime is 78190001. The reversal of 78190000 is 9187.

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

It is a super-2 number, since 2×78190000² = 12227352200000000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78190001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 69442 + ... + 70558.

Almost surely, 2^78190000 is an apocalyptic number.

78190000 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 78190000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108271592).

78190000 is an abundant number, since it is smaller than the sum of its proper divisors (138353184).

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

78190000 is a wasteful number, since it uses less digits than its factorization.

78190000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 25.

The square root of 78190000 is about 8842.5109556053. The cubic root of 78190000 is about 427.6125121365.

Adding to 78190000 its reverse (9187), we get a palindrome (78199187).

The spelling of 78190000 in words is "seventy-eight million, one hundred ninety thousand".