7816366080 has 384 divisors, whose sum is σ = 29436825600. Its totient is φ = 1960574976.

The previous prime is 7816366039. The next prime is 7816366081. The reversal of 7816366080 is 806636187.

7816366080 is a `hidden beast` number, since 7 + 8 + 1 + 6 + 36 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×7816366080² (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 not an unprimeable number, because it can be changed into a prime (7816366081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4699329 + ... + 4700991.

It is an arithmetic number, because the mean of its divisors is an integer number (76658400).

Almost surely, 2^7816366080 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 7816366080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14718412800).

7816366080 is an abundant number, since it is smaller than the sum of its proper divisors (21620459520).

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

7816366080 is a wasteful number, since it uses less digits than its factorization.

7816366080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1716 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 7816366080 is about 88410.2147944456. The cubic root of 7816366080 is about 1984.5785686893.

The spelling of 7816366080 in words is "seven billion, eight hundred sixteen million, three hundred sixty-six thousand, eighty".