78267600 has 120 divisors (see below), whose sum is σ = 278613120. Its totient is φ = 20868480.

The previous prime is 78267587. The next prime is 78267601. The reversal of 78267600 is 676287.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×78267600² = 12251634419520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78267601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7177 + ... + 14423.

It is an arithmetic number, because the mean of its divisors is an integer number (2321776).

Almost surely, 2^78267600 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 78267600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139306560).

78267600 is an abundant number, since it is smaller than the sum of its proper divisors (200345520).

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

78267600 is a wasteful number, since it uses less digits than its factorization.

78267600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7274 (or 7257 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 78267600 is about 8846.8977613625. The cubic root of 78267600 is about 427.7539273198.

The spelling of 78267600 in words is "seventy-eight million, two hundred sixty-seven thousand, six hundred".