7780308480 has 480 divisors, whose sum is σ = 32428281600. Its totient is φ = 1684094976.

The previous prime is 7780308479. The next prime is 7780308517. The reversal of 7780308480 is 848030877.

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 3063051 + ... + 3065589.

It is an arithmetic number, because the mean of its divisors is an integer number (67558920).

Almost surely, 2^7780308480 is an apocalyptic number.

7780308480 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 7780308480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16214140800).

7780308480 is an abundant number, since it is smaller than the sum of its proper divisors (24647973120).

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

7780308480 is a wasteful number, since it uses less digits than its factorization.

7780308480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2594 (or 2575 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 7780308480 is about 88206.0569348840. The cubic root of 7780308480 is about 1981.5221842352.

The spelling of 7780308480 in words is "seven billion, seven hundred eighty million, three hundred eight thousand, four hundred eighty".