8055780480 has 768 divisors, whose sum is σ = 33441932160. Its totient is φ = 1831403520.

The previous prime is 8055780479. The next prime is 8055780511. The reversal of 8055780480 is 840875508.

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, 29082102 + ... + 29082378.

Almost surely, 2^8055780480 is an apocalyptic number.

8055780480 is a gapful number since it is divisible by the number (80) 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 8055780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16720966080).

8055780480 is an abundant number, since it is smaller than the sum of its proper divisors (25386151680).

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

8055780480 is a wasteful number, since it uses less digits than its factorization.

8055780480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 8055780480 is about 89753.9997994518. Note that the first 3 decimals coincide. The cubic root of 8055780480 is about 2004.6376113021.

The spelling of 8055780480 in words is "eight billion, fifty-five million, seven hundred eighty thousand, four hundred eighty".