5077370880 has 288 divisors, whose sum is σ = 18084994200. Its totient is φ = 1316487168.

The previous prime is 5077370863. The next prime is 5077370897. The reversal of 5077370880 is 880737705.

5077370880 is a `hidden beast` number, since 507 + 73 + 70 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5077370863) and next prime (5077370897).

It can be written as a sum of positive squares in 4 ways, for example, as 4349666304 + 727704576 = 65952^2 + 26976^2 .

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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3409176 + ... + 3410664.

Almost surely, 2^5077370880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5077370880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9042497100).

5077370880 is an abundant number, since it is smaller than the sum of its proper divisors (13007623320).

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

5077370880 is a wasteful number, since it uses less digits than its factorization.

5077370880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The square root of 5077370880 is about 71255.6726162907. The cubic root of 5077370880 is about 1718.7509951642.

The spelling of 5077370880 in words is "five billion, seventy-seven million, three hundred seventy thousand, eight hundred eighty".