7936830720 has 864 divisors, whose sum is σ = 34605672192. Its totient is φ = 1634992128.

The previous prime is 7936830703. The next prime is 7936830721. The reversal of 7936830720 is 270386397.

It is a happy number.

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 (7936830721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70237384 + ... + 70237496.

Almost surely, 2^7936830720 is an apocalyptic number.

7936830720 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 7936830720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17302836096).

7936830720 is an abundant number, since it is smaller than the sum of its proper divisors (26668841472).

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

7936830720 is a wasteful number, since it uses less digits than its factorization.

7936830720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 7936830720 is about 89088.8922369113. The cubic root of 7936830720 is about 1994.7219768217.

The spelling of 7936830720 in words is "seven billion, nine hundred thirty-six million, eight hundred thirty thousand, seven hundred twenty".