5407768080 has 480 divisors, whose sum is σ = 21760607232. Its totient is φ = 1186099200.

The previous prime is 5407768057. The next prime is 5407768081. The reversal of 5407768080 is 808677045.

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

It is not an unprimeable number, because it can be changed into a prime (5407768081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5456385 + ... + 5457375.

Almost surely, 2^5407768080 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 5407768080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10880303616).

5407768080 is an abundant number, since it is smaller than the sum of its proper divisors (16352839152).

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

5407768080 is a wasteful number, since it uses less digits than its factorization.

5407768080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 5407768080 is about 73537.5283783729. The cubic root of 5407768080 is about 1755.2514992533.

The spelling of 5407768080 in words is "five billion, four hundred seven million, seven hundred sixty-eight thousand, eighty".