5778190080 has 432 divisors, whose sum is σ = 22342800480. Its totient is φ = 1421328384.

The previous prime is 5778190049. The next prime is 5778190087. The reversal of 5778190080 is 800918775.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×5778190080² = 66774961201220812800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5778190087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4042806 + ... + 4044234.

Almost surely, 2^5778190080 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 5778190080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11171400240).

5778190080 is an abundant number, since it is smaller than the sum of its proper divisors (16564610400).

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

5778190080 is a wasteful number, since it uses less digits than its factorization.

5778190080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The square root of 5778190080 is about 76014.4070555049. The cubic root of 5778190080 is about 1794.4468859085.

The spelling of 5778190080 in words is "five billion, seven hundred seventy-eight million, one hundred ninety thousand, eighty".