7951480320 has 320 divisors, whose sum is σ = 29203130880. Its totient is φ = 1808007168.

The previous prime is 7951480319. The next prime is 7951480367. The reversal of 7951480320 is 230841597.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18977071 + ... + 18977489.

It is an arithmetic number, because the mean of its divisors is an integer number (91259784).

Almost surely, 2^7951480320 is an apocalyptic number.

7951480320 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 7951480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14601565440).

7951480320 is an abundant number, since it is smaller than the sum of its proper divisors (21251650560).

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

7951480320 is a wasteful number, since it uses less digits than its factorization.

7951480320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 7951480320 is about 89171.0733365927. The cubic root of 7951480320 is about 1995.9484915149.

The spelling of 7951480320 in words is "seven billion, nine hundred fifty-one million, four hundred eighty thousand, three hundred twenty".