6880057200 has 360 divisors, whose sum is σ = 24626401488. Its totient is φ = 1777950720.

The previous prime is 6880057181. The next prime is 6880057211. The reversal of 6880057200 is 27500886.

6880057200 is a `hidden beast` number, since 6 + 8 + 80 + 0 + 572 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20415432 + ... + 20415768.

Almost surely, 2^6880057200 is an apocalyptic number.

6880057200 is a gapful number since it is divisible by the number (60) 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 6880057200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12313200744).

6880057200 is an abundant number, since it is smaller than the sum of its proper divisors (17746344288).

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

6880057200 is a wasteful number, since it uses less digits than its factorization.

6880057200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 6880057200 is about 82946.1102162121. The cubic root of 6880057200 is about 1901.9423534692.

The spelling of 6880057200 in words is "six billion, eight hundred eighty million, fifty-seven thousand, two hundred".