7840774080 has 784 divisors, whose sum is σ = 30982615200. Its totient is φ = 1881169920.

The previous prime is 7840774057. The next prime is 7840774091. The reversal of 7840774080 is 804770487.

It is a super-2 number, since 2×7840774080² (a number of 21 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 128537250 + ... + 128537310.

Almost surely, 2^7840774080 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 7840774080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15491307600).

7840774080 is an abundant number, since it is smaller than the sum of its proper divisors (23141841120).

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

7840774080 is a wasteful number, since it uses less digits than its factorization.

7840774080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The square root of 7840774080 is about 88548.1455480576. The cubic root of 7840774080 is about 1986.6421559568.

The spelling of 7840774080 in words is "seven billion, eight hundred forty million, seven hundred seventy-four thousand, eighty".