78076800 has 144 divisors (see below), whose sum is σ = 278698680. Its totient is φ = 20812800.

The previous prime is 78076769. The next prime is 78076807. The reversal of 78076800 is 867087.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78076807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27445 + ... + 30155.

Almost surely, 2^78076800 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 78076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139349340).

78076800 is an abundant number, since it is smaller than the sum of its proper divisors (200621880).

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

78076800 is a wasteful number, since it uses less digits than its factorization.

78076800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2741 (or 2721 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 78076800 is about 8836.1077404024. The cubic root of 78076800 is about 427.4060530195.

The spelling of 78076800 in words is "seventy-eight million, seventy-six thousand, eight hundred".