78030000 has 300 divisors, whose sum is σ = 297311080. Its totient is φ = 19584000.

The previous prime is 78029989. The next prime is 78030023. The reversal of 78030000 is 3087.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (300).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 4589992 + ... + 4590008.

Almost surely, 2^78030000 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 78030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148655540).

78030000 is an abundant number, since it is smaller than the sum of its proper divisors (219281080).

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

78030000 is a wasteful number, since it uses less digits than its factorization.

78030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 78030000 is about 8833.4591186013. The cubic root of 78030000 is about 427.3206388239.

Adding to 78030000 its reverse (3087), we get a palindrome (78033087).

The spelling of 78030000 in words is "seventy-eight million, thirty thousand".