7937261280 has 240 divisors, whose sum is σ = 30167321184. Its totient is φ = 1953745920.

The previous prime is 7937261273. The next prime is 7937261287. The reversal of 7937261280 is 821627397.

It is an interprime number because it is at equal distance from previous prime (7937261273) and next prime (7937261287).

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7937261287) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 144925 + ... + 192035.

Almost surely, 2^7937261280 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 7937261280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15083660592).

7937261280 is an abundant number, since it is smaller than the sum of its proper divisors (22230059904).

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

7937261280 is a wasteful number, since it uses less digits than its factorization.

7937261280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47151 (or 47134 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 7937261280 is about 89091.3086670075. The cubic root of 7937261280 is about 1994.7580462973.

The spelling of 7937261280 in words is "seven billion, nine hundred thirty-seven million, two hundred sixty-one thousand, two hundred eighty".