7880920320 has 576 divisors, whose sum is σ = 32635975680. Its totient is φ = 1573945344.

The previous prime is 7880920319. The next prime is 7880920321. The reversal of 7880920320 is 230290887.

It is an interprime number because it is at equal distance from previous prime (7880920319) and next prime (7880920321).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7880920321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6638767 + ... + 6639953.

It is an arithmetic number, because the mean of its divisors is an integer number (56659680).

Almost surely, 2^7880920320 is an apocalyptic number.

7880920320 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 7880920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16317987840).

7880920320 is an abundant number, since it is smaller than the sum of its proper divisors (24755055360).

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

7880920320 is a wasteful number, since it uses less digits than its factorization.

7880920320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 7880920320 is about 88774.5477037197. The cubic root of 7880920320 is about 1990.0270460875.

The spelling of 7880920320 in words is "seven billion, eight hundred eighty million, nine hundred twenty thousand, three hundred twenty".