1027672800 has 576 divisors, whose sum is σ = 4283725824. Its totient is φ = 207820800.

The previous prime is 1027672799. The next prime is 1027672801. The reversal of 1027672800 is 82767201.

It is an interprime number because it is at equal distance from previous prime (1027672799) and next prime (1027672801).

It is a super-2 number, since 2×1027672800² = 2112222767719680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027672801) 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, 12381559 + ... + 12381641.

It is an arithmetic number, because the mean of its divisors is an integer number (7437024).

Almost surely, 2^1027672800 is an apocalyptic number.

1027672800 is a gapful number since it is divisible by the number (10) 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 1027672800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2141862912).

1027672800 is an abundant number, since it is smaller than the sum of its proper divisors (3256053024).

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

1027672800 is a wasteful number, since it uses less digits than its factorization.

1027672800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 1027672800 is about 32057.3361338711. The cubic root of 1027672800 is about 1009.1404640279.

The spelling of 1027672800 in words is "one billion, twenty-seven million, six hundred seventy-two thousand, eight hundred".