78980000 has 120 divisors (see below), whose sum is σ = 212556960. Its totient is φ = 28640000.

The previous prime is 78979997. The next prime is 78980009. The reversal of 78980000 is 8987.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (78980009) 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, 219821 + ... + 220179.

It is an arithmetic number, because the mean of its divisors is an integer number (1771308).

Almost surely, 2^78980000 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 78980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106278480).

78980000 is an abundant number, since it is smaller than the sum of its proper divisors (133576960).

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

78980000 is a wasteful number, since it uses less digits than its factorization.

78980000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The square root of 78980000 is about 8887.0692581976. The cubic root of 78980000 is about 429.0478300227.

Adding to 78980000 its reverse (8987), we get a palindrome (78988987).

The spelling of 78980000 in words is "seventy-eight million, nine hundred eighty thousand".