5307768000 has 280 divisors, whose sum is σ = 19638288384. Its totient is φ = 1415232000.

The previous prime is 5307767987. The next prime is 5307768031. The reversal of 5307768000 is 8677035.

It is a super-2 number, since 2×5307768000² = 56344802283648000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 643905 + ... + 652095.

Almost surely, 2^5307768000 is an apocalyptic number.

5307768000 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 5307768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9819144192).

5307768000 is an abundant number, since it is smaller than the sum of its proper divisors (14330520384).

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

5307768000 is an equidigital number, since it uses as much as digits as its factorization.

5307768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8230 (or 8201 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 5307768000 is about 72854.4302016013. The cubic root of 5307768000 is about 1744.3647849573.

The spelling of 5307768000 in words is "five billion, three hundred seven million, seven hundred sixty-eight thousand".