78035400 has 120 divisors (see below), whose sum is σ = 271084770. Its totient is φ = 20805120.

The previous prime is 78035393. The next prime is 78035407. The reversal of 78035400 is 453087.

It is an interprime number because it is at equal distance from previous prime (78035393) and next prime (78035407).

It can be written as a sum of positive squares in 3 ways, for example, as 39917124 + 38118276 = 6318^2 + 6174^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 (78035407) 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 29 ways as a sum of consecutive naturals, for example, 13792 + ... + 18608.

Almost surely, 2^78035400 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 78035400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135542385).

78035400 is an abundant number, since it is smaller than the sum of its proper divisors (193049370).

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

78035400 is a wasteful number, since it uses less digits than its factorization.

78035400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4845 (or 4827 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 78035400 is about 8833.7647693382. The cubic root of 78035400 is about 427.3304960507.

Adding to 78035400 its reverse (453087), we get a palindrome (78488487).

It can be divided in two parts, 7803 and 5400, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 78035400 in words is "seventy-eight million, thirty-five thousand, four hundred".