78798400 has 84 divisors (see below), whose sum is σ = 205369668. Its totient is φ = 29655040.

The previous prime is 78798371. The next prime is 78798407. The reversal of 78798400 is 489787.

It can be written as a sum of positive squares in 6 ways, for example, as 3594816 + 75203584 = 1896^2 + 8672^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78798407) 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 11 ways as a sum of consecutive naturals, for example, 25752 + ... + 28648.

It is an arithmetic number, because the mean of its divisors is an integer number (2444877).

Almost surely, 2^78798400 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 78798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102684834).

78798400 is an abundant number, since it is smaller than the sum of its proper divisors (126571268).

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

78798400 is a wasteful number, since it uses less digits than its factorization.

78798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2936 (or 2921 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 43.

The square root of 78798400 is about 8876.8462868296. The cubic root of 78798400 is about 428.7187387782.

The spelling of 78798400 in words is "seventy-eight million, seven hundred ninety-eight thousand, four hundred".