978342300 has 432 divisors, whose sum is σ = 3627128960. Its totient is φ = 226748160.

The previous prime is 978342263. The next prime is 978342311. The reversal of 978342300 is 3243879.

978342300 is a `hidden beast` number, since 9 + 7 + 8 + 342 + 300 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6002019 + ... + 6002181.

Almost surely, 2^978342300 is an apocalyptic number.

978342300 is a gapful number since it is divisible by the number (90) 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 978342300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813564480).

978342300 is an abundant number, since it is smaller than the sum of its proper divisors (2648786660).

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

978342300 is a wasteful number, since it uses less digits than its factorization.

978342300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 978342300 is about 31278.4638369598. The cubic root of 978342300 is about 992.7280130578.

The spelling of 978342300 in words is "nine hundred seventy-eight million, three hundred forty-two thousand, three hundred".