78040800 has 144 divisors (see below), whose sum is σ = 282325680. Its totient is φ = 20805120.

The previous prime is 78040793. The next prime is 78040801. The reversal of 78040800 is 804087.

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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78040801) 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 23 ways as a sum of consecutive naturals, for example, 19794 + ... + 23406.

It is an arithmetic number, because the mean of its divisors is an integer number (1960595).

Almost surely, 2^78040800 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 78040800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141162840).

78040800 is an abundant number, since it is smaller than the sum of its proper divisors (204284880).

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

78040800 is a wasteful number, since it uses less digits than its factorization.

78040800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3642 (or 3623 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 78040800 is about 8834.0704094998. The cubic root of 78040800 is about 427.3403528228.

Adding to 78040800 its reverse (804087), we get a palindrome (78844887).

The spelling of 78040800 in words is "seventy-eight million, forty thousand, eight hundred".