78005700 has 144 divisors (see below), whose sum is σ = 253733760. Its totient is φ = 20557440.

The previous prime is 78005699. The next prime is 78005701. The reversal of 78005700 is 750087.

It is an interprime number because it is at equal distance from previous prime (78005699) and next prime (78005701).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (78005701) 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 47 ways as a sum of consecutive naturals, for example, 450814 + ... + 450986.

It is an arithmetic number, because the mean of its divisors is an integer number (1762040).

Almost surely, 2^78005700 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 78005700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126866880).

78005700 is an abundant number, since it is smaller than the sum of its proper divisors (175728060).

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

78005700 is a wasteful number, since it uses less digits than its factorization.

78005700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 78005700 is about 8832.0835593873. The cubic root of 78005700 is about 427.2762756746.

Adding to 78005700 its reverse (750087), we get a palindrome (78755787).

The spelling of 78005700 in words is "seventy-eight million, five thousand, seven hundred".