78213000 has 192 divisors, whose sum is σ = 260881920. Its totient is φ = 19488000.

The previous prime is 78212951. The next prime is 78213007. The reversal of 78213000 is 31287.

It is a super-2 number, since 2×78213000² = 12234546738000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78213007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2522985 + ... + 2523015.

It is an arithmetic number, because the mean of its divisors is an integer number (1358760).

Almost surely, 2^78213000 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 78213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130440960).

78213000 is an abundant number, since it is smaller than the sum of its proper divisors (182668920).

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

78213000 is a wasteful number, since it uses less digits than its factorization.

78213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 78213000 is about 8843.8113955466. The cubic root of 78213000 is about 427.6544361830.

Adding to 78213000 its reverse (31287), we get a palindrome (78244287).

The spelling of 78213000 in words is "seventy-eight million, two hundred thirteen thousand".