78293000 has 64 divisors (see below), whose sum is σ = 186451200. Its totient is φ = 30763200.

The previous prime is 78292997. The next prime is 78293003. The reversal of 78293000 is 39287.

It is an interprime number because it is at equal distance from previous prime (78292997) and next prime (78293003).

It is a super-2 number, since 2×78293000² = 12259587698000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78293003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58337 + ... + 59663.

It is an arithmetic number, because the mean of its divisors is an integer number (2913300).

Almost surely, 2^78293000 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 78293000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93225600).

78293000 is an abundant number, since it is smaller than the sum of its proper divisors (108158200).

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

78293000 is a wasteful number, since it uses less digits than its factorization.

78293000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 78293000 is about 8848.3331763672. Note that the first 3 decimals coincide. The cubic root of 78293000 is about 427.8001949735.

The spelling of 78293000 in words is "seventy-eight million, two hundred ninety-three thousand".