5801767776 has 288 divisors, whose sum is σ = 20148670080. Its totient is φ = 1618589952.

The previous prime is 5801767759. The next prime is 5801767793. The reversal of 5801767776 is 6777671085.

It is an interprime number because it is at equal distance from previous prime (5801767759) and next prime (5801767793).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1818855 + ... + 1822041.

It is an arithmetic number, because the mean of its divisors is an integer number (69960660).

Almost surely, 2^5801767776 is an apocalyptic number.

5801767776 is a gapful number since it is divisible by the number (56) 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 5801767776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10074335040).

5801767776 is an abundant number, since it is smaller than the sum of its proper divisors (14346902304).

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

5801767776 is a wasteful number, since it uses less digits than its factorization.

5801767776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3263 (or 3242 counting only the distinct ones).

The product of its (nonzero) digits is 3457440, while the sum is 54.

The square root of 5801767776 is about 76169.3361924600. The cubic root of 5801767776 is about 1796.8842988932.

The spelling of 5801767776 in words is "five billion, eight hundred one million, seven hundred sixty-seven thousand, seven hundred seventy-six".