78270000 has 100 divisors (see below), whose sum is σ = 252762840. Its totient is φ = 20864000.

The previous prime is 78269999. The next prime is 78270007. The reversal of 78270000 is 7287.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×78270000² = 12252385800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (78270007) 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 19 ways as a sum of consecutive naturals, for example, 28696 + ... + 31304.

Almost surely, 2^78270000 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 78270000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126381420).

78270000 is an abundant number, since it is smaller than the sum of its proper divisors (174492840).

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

78270000 is a wasteful number, since it uses less digits than its factorization.

78270000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 78270000 is about 8847.0334010899. The cubic root of 78270000 is about 427.7582994948.

Adding to 78270000 its reverse (7287), we get a palindrome (78277287).

The spelling of 78270000 in words is "seventy-eight million, two hundred seventy thousand".