78984000 has 168 divisors, whose sum is σ = 282796488. Its totient is φ = 21043200.

The previous prime is 78983987. The next prime is 78984013. The reversal of 78984000 is 48987.

It is an interprime number because it is at equal distance from previous prime (78983987) and next prime (78984013).

It can be written as a sum of positive squares in 4 ways, for example, as 8020224 + 70963776 = 2832^2 + 8424^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71452 + ... + 72548.

Almost surely, 2^78984000 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 78984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141398244).

78984000 is an abundant number, since it is smaller than the sum of its proper divisors (203812488).

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

78984000 is a wasteful number, since it uses less digits than its factorization.

78984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 78984000 is about 8887.2943014171. The cubic root of 78984000 is about 429.0550730477.

The spelling of 78984000 in words is "seventy-eight million, nine hundred eighty-four thousand".