7980249600 has 600 divisors, whose sum is σ = 30391202160. Its totient is φ = 2066964480.

The previous prime is 7980249593. The next prime is 7980249631. The reversal of 7980249600 is 69420897.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 44582311 + ... + 44582489.

Almost surely, 2^7980249600 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 7980249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15195601080).

7980249600 is an abundant number, since it is smaller than the sum of its proper divisors (22410952560).

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

7980249600 is a wasteful number, since it uses less digits than its factorization.

7980249600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 7980249600 is about 89332.2427794131. The cubic root of 7980249600 is about 1998.3527770340.

The spelling of 7980249600 in words is "seven billion, nine hundred eighty million, two hundred forty-nine thousand, six hundred".