7766097696 has 288 divisors, whose sum is σ = 27328855680. Its totient is φ = 2101510656.

The previous prime is 7766097631. The next prime is 7766097701. The reversal of 7766097696 is 6967906677.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2181550 + ... + 2185106.

It is an arithmetic number, because the mean of its divisors is an integer number (94891860).

Almost surely, 2^7766097696 is an apocalyptic number.

7766097696 is a gapful number since it is divisible by the number (76) 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 7766097696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13664427840).

7766097696 is an abundant number, since it is smaller than the sum of its proper divisors (19562757984).

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

7766097696 is a wasteful number, since it uses less digits than its factorization.

7766097696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3621 (or 3588 counting only the distinct ones).

The product of its (nonzero) digits is 36006768, while the sum is 63.

The square root of 7766097696 is about 88125.4656498336. The cubic root of 7766097696 is about 1980.3150279281.

The spelling of 7766097696 in words is "seven billion, seven hundred sixty-six million, ninety-seven thousand, six hundred ninety-six".