5779922400 has 864 divisors, whose sum is σ = 25078394880. Its totient is φ = 1280240640.

The previous prime is 5779922363. The next prime is 5779922437. The reversal of 5779922400 is 42299775.

It is an interprime number because it is at equal distance from previous prime (5779922363) and next prime (5779922437).

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×5779922400³ (a number of 30 digits) contains 333 as substring.

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 143 ways as a sum of consecutive naturals, for example, 45511137 + ... + 45511263.

It is an arithmetic number, because the mean of its divisors is an integer number (29025920).

Almost surely, 2^5779922400 is an apocalyptic number.

5779922400 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 5779922400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12539197440).

5779922400 is an abundant number, since it is smaller than the sum of its proper divisors (19298472480).

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

5779922400 is a wasteful number, since it uses less digits than its factorization.

5779922400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 5779922400 is about 76025.8008836474. The cubic root of 5779922400 is about 1794.6261949763.

The spelling of 5779922400 in words is "five billion, seven hundred seventy-nine million, nine hundred twenty-two thousand, four hundred".