7790133120 has 1024 divisors, whose sum is σ = 33841152000. Its totient is φ = 1476034560.

The previous prime is 7790133107. The next prime is 7790133121. The reversal of 7790133120 is 213310977.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7790133121) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 98609241 + ... + 98609319.

It is an arithmetic number, because the mean of its divisors is an integer number (33048000).

Almost surely, 2^7790133120 is an apocalyptic number.

7790133120 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 7790133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16920576000).

7790133120 is an abundant number, since it is smaller than the sum of its proper divisors (26051018880).

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

7790133120 is a wasteful number, since it uses less digits than its factorization.

7790133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 33.

The square root of 7790133120 is about 88261.7307784070. The cubic root of 7790133120 is about 1982.3558938309.

The spelling of 7790133120 in words is "seven billion, seven hundred ninety million, one hundred thirty-three thousand, one hundred twenty".