7981290720 has 768 divisors, whose sum is σ = 32432762880. Its totient is φ = 1817468928.

The previous prime is 7981290703. The next prime is 7981290731. The reversal of 7981290720 is 270921897.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47792077 + ... + 47792243.

It is an arithmetic number, because the mean of its divisors is an integer number (42230160).

Almost surely, 2^7981290720 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 7981290720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16216381440).

7981290720 is an abundant number, since it is smaller than the sum of its proper divisors (24451472160).

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

7981290720 is a wasteful number, since it uses less digits than its factorization.

7981290720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 7981290720 is about 89338.0698246834. The cubic root of 7981290720 is about 1998.4396763449.

It can be divided in two parts, 7981290 and 720, that added together give a triangular number (7982010 = T₃₉₉₅).

The spelling of 7981290720 in words is "seven billion, nine hundred eighty-one million, two hundred ninety thousand, seven hundred twenty".