978082257600 has 2520 divisors, whose sum is σ = 4457516754240. Its totient is φ = 209390469120.

The previous prime is 978082257563. The next prime is 978082257619. The reversal of 978082257600 is 6752280879.

It is a happy number.

978082257600 is a `hidden beast` number, since 9 + 7 + 8 + 0 + 8 + 2 + 25 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 8655595144 + ... + 8655595256.

Almost surely, 2^978082257600 is an apocalyptic number.

978082257600 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 978082257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2228758377120).

978082257600 is an abundant number, since it is smaller than the sum of its proper divisors (3479434496640).

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

978082257600 is a wasteful number, since it uses less digits than its factorization.

978082257600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 978082257600 in words is "nine hundred seventy-eight billion, eighty-two million, two hundred fifty-seven thousand, six hundred".