78978000 has 80 divisors (see below), whose sum is σ = 254644416. Its totient is φ = 21059200.

The previous prime is 78977957. The next prime is 78978007. The reversal of 78978000 is 87987.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 78978000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78978007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 582 + ... + 12581.

Almost surely, 2^78978000 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 78978000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127322208).

78978000 is an abundant number, since it is smaller than the sum of its proper divisors (175666416).

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

78978000 is a wasteful number, since it uses less digits than its factorization.

78978000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13189 (or 13173 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 39.

The square root of 78978000 is about 8886.9567344508. The cubic root of 78978000 is about 429.0442084185.

The spelling of 78978000 in words is "seventy-eight million, nine hundred seventy-eight thousand".