7920281600 has 576 divisors, whose sum is σ = 25592112000. Its totient is φ = 2408448000.

The previous prime is 7920281597. The next prime is 7920281639. The reversal of 7920281600 is 61820297.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 193177580 + ... + 193177620.

It is an arithmetic number, because the mean of its divisors is an integer number (44430750).

Almost surely, 2^7920281600 is an apocalyptic number.

7920281600 is a gapful number since it is divisible by the number (70) 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 7920281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12796056000).

7920281600 is an abundant number, since it is smaller than the sum of its proper divisors (17671830400).

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

7920281600 is a wasteful number, since it uses less digits than its factorization.

7920281600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 7920281600 is about 88995.9639534288. The cubic root of 7920281600 is about 1993.3346109717.

The spelling of 7920281600 in words is "seven billion, nine hundred twenty million, two hundred eighty-one thousand, six hundred".