7816299120 has 480 divisors, whose sum is σ = 31587978240. Its totient is φ = 1759242240.

The previous prime is 7816299119. The next prime is 7816299131. The reversal of 7816299120 is 219926187.

7816299120 is a `hidden beast` number, since 7 + 8 + 1 + 629 + 9 + 12 + 0 = 666.

It is a super-2 number, since 2×7816299120² (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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9661276 + ... + 9662084.

It is an arithmetic number, because the mean of its divisors is an integer number (65808288).

Almost surely, 2^7816299120 is an apocalyptic number.

7816299120 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 7816299120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15793989120).

7816299120 is an abundant number, since it is smaller than the sum of its proper divisors (23771679120).

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

7816299120 is a wasteful number, since it uses less digits than its factorization.

7816299120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 7816299120 is about 88409.8361043611. The cubic root of 7816299120 is about 1984.5729016159.

It can be divided in two parts, 7816 and 299120, that added together give a triangular number (306936 = T₇₈₃).

The spelling of 7816299120 in words is "seven billion, eight hundred sixteen million, two hundred ninety-nine thousand, one hundred twenty".