7950350880 has 480 divisors, whose sum is σ = 29967537600. Its totient is φ = 1979209728.

The previous prime is 7950350869. The next prime is 7950350921. The reversal of 7950350880 is 880530597.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20437726 + ... + 20438114.

It is an arithmetic number, because the mean of its divisors is an integer number (62432370).

Almost surely, 2^7950350880 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 7950350880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14983768800).

7950350880 is an abundant number, since it is smaller than the sum of its proper divisors (22017186720).

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

7950350880 is a wasteful number, since it uses less digits than its factorization.

7950350880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 7950350880 is about 89164.7401162590. The cubic root of 7950350880 is about 1995.8539845503.

The spelling of 7950350880 in words is "seven billion, nine hundred fifty million, three hundred fifty thousand, eight hundred eighty".