7952417280 has 240 divisors, whose sum is σ = 27635534784. Its totient is φ = 2113413120.

The previous prime is 7952417261. The next prime is 7952417281. The reversal of 7952417280 is 827142597.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (7952417281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12602565 + ... + 12603195.

Almost surely, 2^7952417280 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 7952417280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13817767392).

7952417280 is an abundant number, since it is smaller than the sum of its proper divisors (19683117504).

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

7952417280 is a wasteful number, since it uses less digits than its factorization.

7952417280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 7952417280 is about 89176.3269035006. The cubic root of 7952417280 is about 1996.0268857414.

The spelling of 7952417280 in words is "seven billion, nine hundred fifty-two million, four hundred seventeen thousand, two hundred eighty".