78990600 has 288 divisors, whose sum is σ = 285919200. Its totient is φ = 17971200.

The previous prime is 78990563. The next prime is 78990601. The reversal of 78990600 is 609987.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78990601) 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 71 ways as a sum of consecutive naturals, for example, 1926580 + ... + 1926620.

It is an arithmetic number, because the mean of its divisors is an integer number (992775).

Almost surely, 2^78990600 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 78990600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142959600).

78990600 is an abundant number, since it is smaller than the sum of its proper divisors (206928600).

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

78990600 is a wasteful number, since it uses less digits than its factorization.

78990600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 78990600 is about 8887.6656102713. The cubic root of 78990600 is about 429.0670235044.

The spelling of 78990600 in words is "seventy-eight million, nine hundred ninety thousand, six hundred".