9090777600 has 720 divisors, whose sum is σ = 35145107712. Its totient is φ = 2238382080.

The previous prime is 9090777569. The next prime is 9090777607. The reversal of 9090777600 is 67770909.

It is a tau number, because it is divible by the number of its divisors (720).

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 (9090777607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 124531164 + ... + 124531236.

Almost surely, 2^9090777600 is an apocalyptic number.

9090777600 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 9090777600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17572553856).

9090777600 is an abundant number, since it is smaller than the sum of its proper divisors (26054330112).

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

9090777600 is a wasteful number, since it uses less digits than its factorization.

9090777600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 166698, while the sum is 45.

The square root of 9090777600 is about 95345.5693779213. The cubic root of 9090777600 is about 2087.0539599434.

The spelling of 9090777600 in words is "nine billion, ninety million, seven hundred seventy-seven thousand, six hundred".