9777438720 has 560 divisors, whose sum is σ = 40154339808. Its totient is φ = 2229534720.

The previous prime is 9777438709. The next prime is 9777438721. The reversal of 9777438720 is 278347779.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9777438721) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23224110 + ... + 23224530.

Almost surely, 2^9777438720 is an apocalyptic number.

9777438720 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 9777438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20077169904).

9777438720 is an abundant number, since it is smaller than the sum of its proper divisors (30376901088).

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

9777438720 is an equidigital number, since it uses as much as digits as its factorization.

9777438720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 4148928, while the sum is 54.

The square root of 9777438720 is about 98880.9320344423. The cubic root of 9777438720 is about 2138.3315029056.

The spelling of 9777438720 in words is "nine billion, seven hundred seventy-seven million, four hundred thirty-eight thousand, seven hundred twenty".