5807961600 has 960 divisors, whose sum is σ = 24550428672. Its totient is φ = 1179648000.

The previous prime is 5807961589. The next prime is 5807961611. The reversal of 5807961600 is 61697085.

It is an interprime number because it is at equal distance from previous prime (5807961589) and next prime (5807961611).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 141657580 + ... + 141657620.

Almost surely, 2^5807961600 is an apocalyptic number.

5807961600 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 5807961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12275214336).

5807961600 is an abundant number, since it is smaller than the sum of its proper divisors (18742467072).

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

5807961600 is a wasteful number, since it uses less digits than its factorization.

5807961600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 5807961600 is about 76209.9835979513. The cubic root of 5807961600 is about 1797.5235079134.

The spelling of 5807961600 in words is "five billion, eight hundred seven million, nine hundred sixty-one thousand, six hundred".