78368000 has 144 divisors (see below), whose sum is σ = 204072960. Its totient is φ = 29952000.

The previous prime is 78367997. The next prime is 78368033. The reversal of 78368000 is 86387.

It is a super-2 number, since 2×78368000² = 12283086848000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 991961 + ... + 992039.

Almost surely, 2^78368000 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 78368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102036480).

78368000 is an abundant number, since it is smaller than the sum of its proper divisors (125704960).

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

78368000 is an equidigital number, since it uses as much as digits as its factorization.

78368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 78368000 is about 8852.5702482386. The cubic root of 78368000 is about 427.9367536905.

The spelling of 78368000 in words is "seventy-eight million, three hundred sixty-eight thousand".