78214000 has 40 divisors (see below), whose sum is σ = 189126288. Its totient is φ = 31284800.

The previous prime is 78213983. The next prime is 78214009. The reversal of 78214000 is 41287.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×78214000² = 12234859592000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78214009) 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 7 ways as a sum of consecutive naturals, for example, 17554 + ... + 21553.

Almost surely, 2^78214000 is an apocalyptic number.

It is an amenable number.

78214000 is an abundant number, since it is smaller than the sum of its proper divisors (110912288).

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

78214000 is a wasteful number, since it uses less digits than its factorization.

78214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39130 (or 39114 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 78214000 is about 8843.8679320759. The cubic root of 78214000 is about 427.6562587812.

Adding to 78214000 its reverse (41287), we get a palindrome (78255287).

The spelling of 78214000 in words is "seventy-eight million, two hundred fourteen thousand".