78294000 has 80 divisors (see below), whose sum is σ = 252439200. Its totient is φ = 20876800.

The previous prime is 78293981. The next prime is 78294011. The reversal of 78294000 is 49287.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×78294000² = 12259900872000000, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 525 + ... + 12524.

It is an arithmetic number, because the mean of its divisors is an integer number (3155490).

Almost surely, 2^78294000 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 78294000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126219600).

78294000 is an abundant number, since it is smaller than the sum of its proper divisors (174145200).

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

78294000 is a wasteful number, since it uses less digits than its factorization.

78294000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13075 (or 13059 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 78294000 is about 8848.3896840047. The cubic root of 78294000 is about 427.8020163299.

The spelling of 78294000 in words is "seventy-eight million, two hundred ninety-four thousand".