9765550080 has 1152 divisors, whose sum is σ = 43164576000. Its totient is φ = 2070282240.

The previous prime is 9765550063. The next prime is 9765550097. The reversal of 9765550080 is 800555679.

9765550080 is a `hidden beast` number, since 9 + 7 + 65 + 5 + 500 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (9765550063) and next prime (9765550097).

It is a tau number, because it is divible by the number of its divisors (1152).

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, 513976311 + ... + 513976329.

It is an arithmetic number, because the mean of its divisors is an integer number (37469250).

Almost surely, 2^9765550080 is an apocalyptic number.

9765550080 is a gapful number since it is divisible by the number (90) 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 9765550080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21582288000).

9765550080 is an abundant number, since it is smaller than the sum of its proper divisors (33399025920).

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

9765550080 is a wasteful number, since it uses less digits than its factorization.

9765550080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 9765550080 is about 98820.7978109871. The cubic root of 9765550080 is about 2137.4644672456.

The spelling of 9765550080 in words is "nine billion, seven hundred sixty-five million, five hundred fifty thousand, eighty".