5427777600 has 840 divisors, whose sum is σ = 23658787328. Its totient is φ = 1194393600.

The previous prime is 5427777577. The next prime is 5427777623. The reversal of 5427777600 is 67777245.

It is an interprime number because it is at equal distance from previous prime (5427777577) and next prime (5427777623).

It is a tau number, because it is divible by the number of its divisors (840).

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 119 ways as a sum of consecutive naturals, for example, 28123104 + ... + 28123296.

Almost surely, 2^5427777600 is an apocalyptic number.

5427777600 is a gapful number since it is divisible by the number (50) 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 5427777600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11829393664).

5427777600 is an abundant number, since it is smaller than the sum of its proper divisors (18231009728).

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

5427777600 is a wasteful number, since it uses less digits than its factorization.

5427777600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 576240, while the sum is 45.

The square root of 5427777600 is about 73673.4524778091. The cubic root of 5427777600 is about 1757.4137289564.

The spelling of 5427777600 in words is "five billion, four hundred twenty-seven million, seven hundred seventy-seven thousand, six hundred".