7821166080 has 960 divisors, whose sum is σ = 33525854208. Its totient is φ = 1512898560.

The previous prime is 7821166043. The next prime is 7821166091. The reversal of 7821166080 is 806611287.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×7821166080² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 252295665 + ... + 252295695.

Almost surely, 2^7821166080 is an apocalyptic number.

7821166080 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 7821166080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16762927104).

7821166080 is an abundant number, since it is smaller than the sum of its proper divisors (25704688128).

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

7821166080 is a wasteful number, since it uses less digits than its factorization.

7821166080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 7821166080 is about 88437.3568126049. The cubic root of 7821166080 is about 1984.9847262200.

The spelling of 7821166080 in words is "seven billion, eight hundred twenty-one million, one hundred sixty-six thousand, eighty".