9771278400 has 672 divisors, whose sum is σ = 38944174080. Its totient is φ = 2368880640.

The previous prime is 9771278339. The next prime is 9771278423. The reversal of 9771278400 is 48721779.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 71323132 + ... + 71323268.

It is an arithmetic number, because the mean of its divisors is an integer number (57952640).

Almost surely, 2^9771278400 is an apocalyptic number.

9771278400 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 9771278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19472087040).

9771278400 is an abundant number, since it is smaller than the sum of its proper divisors (29172895680).

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

9771278400 is a wasteful number, since it uses less digits than its factorization.

9771278400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The square root of 9771278400 is about 98849.7769344979. The cubic root of 9771278400 is about 2137.8823200402.

The spelling of 9771278400 in words is "nine billion, seven hundred seventy-one million, two hundred seventy-eight thousand, four hundred".