5407778880 has 672 divisors, whose sum is σ = 23279892480. Its totient is φ = 1123614720.

The previous prime is 5407778869. The next prime is 5407778903. The reversal of 5407778880 is 888777045.

It is a tau number, because it is divible by the number of its divisors (672).

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, 10624066 + ... + 10624574.

Almost surely, 2^5407778880 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 5407778880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11639946240).

5407778880 is an abundant number, since it is smaller than the sum of its proper divisors (17872113600).

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

5407778880 is a wasteful number, since it uses less digits than its factorization.

5407778880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 3512320, while the sum is 54.

The square root of 5407778880 is about 73537.6018102304. The cubic root of 5407778880 is about 1755.2526677393.

The spelling of 5407778880 in words is "five billion, four hundred seven million, seven hundred seventy-eight thousand, eight hundred eighty".