7280032800 has 144 divisors (see below), whose sum is σ = 24085458432. Its totient is φ = 1909478400.

The previous prime is 7280032789. The next prime is 7280032813. The reversal of 7280032800 is 82300827.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 121537 + ... + 171263.

It is an arithmetic number, because the mean of its divisors is an integer number (167260128).

Almost surely, 2^7280032800 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 7280032800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12042729216).

7280032800 is an abundant number, since it is smaller than the sum of its proper divisors (16805425632).

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

7280032800 is a wasteful number, since it uses less digits than its factorization.

7280032800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49811 (or 49798 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 7280032800 is about 85323.1082415544. The cubic root of 7280032800 is about 1938.1071273883.

The spelling of 7280032800 in words is "seven billion, two hundred eighty million, thirty-two thousand, eight hundred".