980826000 has 480 divisors, whose sum is σ = 3992911104. Its totient is φ = 202752000.

The previous prime is 980825987. The next prime is 980826047. The reversal of 980826000 is 628089.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5081904 + ... + 5082096.

Almost surely, 2^980826000 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 980826000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1996455552).

980826000 is an abundant number, since it is smaller than the sum of its proper divisors (3012085104).

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

980826000 is a wasteful number, since it uses less digits than its factorization.

980826000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 980826000 is about 31318.1417073236. The cubic root of 980826000 is about 993.5673767492.

The spelling of 980826000 in words is "nine hundred eighty million, eight hundred twenty-six thousand".