7980503040 has 312 divisors, whose sum is σ = 28635408360. Its totient is φ = 2053373952.

The previous prime is 7980503009. The next prime is 7980503051. The reversal of 7980503040 is 403050897.

7980503040 is a `hidden beast` number, since 79 + 80 + 503 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2141097984 + 5839405056 = 46272^2 + 76416^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7980502986 and 7980503004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5344534 + ... + 5346026.

It is an arithmetic number, because the mean of its divisors is an integer number (91780155).

Almost surely, 2^7980503040 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 7980503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14317704180).

7980503040 is an abundant number, since it is smaller than the sum of its proper divisors (20654905320).

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

7980503040 is a wasteful number, since it uses less digits than its factorization.

7980503040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 7980503040 is about 89333.6612929303. The cubic root of 7980503040 is about 1998.3739316425.

The spelling of 7980503040 in words is "seven billion, nine hundred eighty million, five hundred three thousand, forty".