8042983200 has 432 divisors, whose sum is σ = 33035760576. Its totient is φ = 1803110400.

The previous prime is 8042983189. The next prime is 8042983211. The reversal of 8042983200 is 23892408.

It is an interprime number because it is at equal distance from previous prime (8042983189) and next prime (8042983211).

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

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, 2669695 + ... + 2672705.

It is an arithmetic number, because the mean of its divisors is an integer number (76471668).

Almost surely, 2^8042983200 is an apocalyptic number.

8042983200 is a gapful number since it is divisible by the number (80) 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 8042983200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16517880288).

8042983200 is an abundant number, since it is smaller than the sum of its proper divisors (24992777376).

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

8042983200 is a wasteful number, since it uses less digits than its factorization.

8042983200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3097 (or 3081 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8042983200 is about 89682.6806022211. The cubic root of 8042983200 is about 2003.5755372906.

The spelling of 8042983200 in words is "eight billion, forty-two million, nine hundred eighty-three thousand, two hundred".