7980036480 has 768 divisors, whose sum is σ = 32078592000. Its totient is φ = 1811496960.

The previous prime is 7980036469. The next prime is 7980036503. The reversal of 7980036480 is 846300897.

It is a happy number.

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

It is a congruent number.

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, 101013081 + ... + 101013159.

It is an arithmetic number, because the mean of its divisors is an integer number (41769000).

Almost surely, 2^7980036480 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 7980036480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16039296000).

7980036480 is an abundant number, since it is smaller than the sum of its proper divisors (24098555520).

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

7980036480 is a wasteful number, since it uses less digits than its factorization.

7980036480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 7980036480 is about 89331.0499210661. The cubic root of 7980036480 is about 1998.3349875848.

The spelling of 7980036480 in words is "seven billion, nine hundred eighty million, thirty-six thousand, four hundred eighty".