9776913300 has 1152 divisors, whose sum is σ = 42557276160. Its totient is φ = 1866240000.

The previous prime is 9776913283. The next prime is 9776913317. The reversal of 9776913300 is 33196779.

It is an interprime number because it is at equal distance from previous prime (9776913283) and next prime (9776913317).

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 383 ways as a sum of consecutive naturals, for example, 238461280 + ... + 238461320.

It is an arithmetic number, because the mean of its divisors is an integer number (36942080).

Almost surely, 2^9776913300 is an apocalyptic number.

9776913300 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 9776913300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21278638080).

9776913300 is an abundant number, since it is smaller than the sum of its proper divisors (32780362860).

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

9776913300 is a wasteful number, since it uses less digits than its factorization.

9776913300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 214326, while the sum is 45.

The square root of 9776913300 is about 98878.2751669951. The cubic root of 9776913300 is about 2138.2931990001.

The spelling of 9776913300 in words is "nine billion, seven hundred seventy-six million, nine hundred thirteen thousand, three hundred".