84078000 has 240 divisors, whose sum is σ = 306292896. Its totient is φ = 22291200.

The previous prime is 84077999. The next prime is 84078011. The reversal of 84078000 is 87048.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×84078000² = 14138220168000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 485914 + ... + 486086.

Almost surely, 2^84078000 is an apocalyptic number.

84078000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84078000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153146448).

84078000 is an abundant number, since it is smaller than the sum of its proper divisors (222214896).

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

84078000 is a wasteful number, since it uses less digits than its factorization.

84078000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 84078000 is about 9169.4056514040. The cubic root of 84078000 is about 438.0874285972.

The spelling of 84078000 in words is "eighty-four million, seventy-eight thousand".