78066800 has 120 divisors (see below), whose sum is σ = 219108000. Its totient is φ = 26718720.

The previous prime is 78066797. The next prime is 78066809. The reversal of 78066800 is 866087.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78066809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136916 + ... + 137484.

It is an arithmetic number, because the mean of its divisors is an integer number (1825900).

Almost surely, 2^78066800 is an apocalyptic number.

78066800 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 78066800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109554000).

78066800 is an abundant number, since it is smaller than the sum of its proper divisors (141041200).

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

78066800 is a wasteful number, since it uses less digits than its factorization.

78066800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 78066800 is about 8835.5418622742. The cubic root of 78066800 is about 427.3878049910.

The spelling of 78066800 in words is "seventy-eight million, sixty-six thousand, eight hundred".