6082578900 has 288 divisors, whose sum is σ = 20417443200. Its totient is φ = 1551513600.

The previous prime is 6082578857. The next prime is 6082578907. The reversal of 6082578900 is 98752806.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6082578907) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10257004 + ... + 10257596.

It is an arithmetic number, because the mean of its divisors is an integer number (70893900).

Almost surely, 2^6082578900 is an apocalyptic number.

6082578900 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 6082578900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10208721600).

6082578900 is an abundant number, since it is smaller than the sum of its proper divisors (14334864300).

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

6082578900 is a wasteful number, since it uses less digits than its factorization.

6082578900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 6082578900 is about 77990.8898525975. The cubic root of 6082578900 is about 1825.4190718359.

The spelling of 6082578900 in words is "six billion, eighty-two million, five hundred seventy-eight thousand, nine hundred".