7790540514120 has 2560 divisors, whose sum is σ = 34410197606400. Its totient is φ = 1537184563200.

The previous prime is 7790540514061. The next prime is 7790540514187. The reversal of 7790540514120 is 214150450977.

7790540514120 is a `hidden beast` number, since 7 + 7 + 9 + 0 + 5 + 4 + 0 + 514 + 120 = 666.

It is a super-2 number, since 2×7790540514120² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 49621277082 + ... + 49621277238.

It is an arithmetic number, because the mean of its divisors is an integer number (13441483440).

Almost surely, 2^{7790540514120} is an apocalyptic number.

7790540514120 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 7790540514120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17205098803200).

7790540514120 is an abundant number, since it is smaller than the sum of its proper divisors (26619657092280).

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

7790540514120 is a wasteful number, since it uses less digits than its factorization.

7790540514120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 7790540514120 in words is "seven trillion, seven hundred ninety billion, five hundred forty million, five hundred fourteen thousand, one hundred twenty".