87978000 has 320 divisors, whose sum is σ = 326836224. Its totient is φ = 20160000.

The previous prime is 87977993. The next prime is 87978001. The reversal of 87978000 is 87978.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 87978000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87978001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2045979 + ... + 2046021.

Almost surely, 2^87978000 is an apocalyptic number.

87978000 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 87978000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163418112).

87978000 is an abundant number, since it is smaller than the sum of its proper divisors (238858224).

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

87978000 is a wasteful number, since it uses less digits than its factorization.

87978000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 39.

The square root of 87978000 is about 9379.6588424100. The cubic root of 87978000 is about 444.7589486897.

87978000 divided by its reverse (87978) gives a cube (1000 = 10³).

The spelling of 87978000 in words is "eighty-seven million, nine hundred seventy-eight thousand".