7980779520 has 576 divisors, whose sum is σ = 32196528000. Its totient is φ = 1790705664.

The previous prime is 7980779507. The next prime is 7980779561. The reversal of 7980779520 is 259770897.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57415611 + ... + 57415749.

It is an arithmetic number, because the mean of its divisors is an integer number (55896750).

Almost surely, 2^7980779520 is an apocalyptic number.

7980779520 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7980779520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16098264000).

7980779520 is an abundant number, since it is smaller than the sum of its proper divisors (24215748480).

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

7980779520 is a wasteful number, since it uses less digits than its factorization.

7980779520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

The square root of 7980779520 is about 89335.2087365334. The cubic root of 7980779520 is about 1998.3970088863.

The spelling of 7980779520 in words is "seven billion, nine hundred eighty million, seven hundred seventy-nine thousand, five hundred twenty".