78067200 has 240 divisors, whose sum is σ = 274000320. Its totient is φ = 19537920.

The previous prime is 78067177. The next prime is 78067211. The reversal of 78067200 is 276087.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 729547 + ... + 729653.

It is an arithmetic number, because the mean of its divisors is an integer number (1141668).

Almost surely, 2^78067200 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 78067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137000160).

78067200 is an abundant number, since it is smaller than the sum of its proper divisors (195933120).

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

78067200 is a wasteful number, since it uses less digits than its factorization.

78067200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 78067200 is about 8835.5644980952. The cubic root of 78067200 is about 427.3885349421.

The spelling of 78067200 in words is "seventy-eight million, sixty-seven thousand, two hundred".