78441600 has 96 divisors (see below), whose sum is σ = 258398640. Its totient is φ = 20915200.

The previous prime is 78441551. The next prime is 78441611. The reversal of 78441600 is 614487.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×78441600² = 12306169221120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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, 5515 + ... + 13685.

Almost surely, 2^78441600 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 78441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129199320).

78441600 is an abundant number, since it is smaller than the sum of its proper divisors (179957040).

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

78441600 is a wasteful number, since it uses less digits than its factorization.

78441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8198 (or 8181 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 78441600 is about 8856.7262574836. The cubic root of 78441600 is about 428.0706786354.

The spelling of 78441600 in words is "seventy-eight million, four hundred forty-one thousand, six hundred".