978008640 has 336 divisors, whose sum is σ = 3827751552. Its totient is φ = 210223104.

The previous prime is 978008627. The next prime is 978008659. The reversal of 978008640 is 46800879.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 978008592 and 978008601.

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 47 ways as a sum of consecutive naturals, for example, 799069 + ... + 800291.

Almost surely, 2^978008640 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 978008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913875776).

978008640 is an abundant number, since it is smaller than the sum of its proper divisors (2849742912).

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

978008640 is a wasteful number, since it uses less digits than its factorization.

978008640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 978008640 is about 31273.1296802862. The cubic root of 978008640 is about 992.6151448278.

The spelling of 978008640 in words is "nine hundred seventy-eight million, eight thousand, six hundred forty".