9787962240 has 704 divisors, whose sum is σ = 41197073760. Its totient is φ = 2176782336.

The previous prime is 9787962229. The next prime is 9787962253. The reversal of 9787962240 is 422697879.

9787962240 is a `hidden beast` number, since 9 + 7 + 8 + 7 + 9 + 622 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 264539502 + ... + 264539538.

Almost surely, 2^9787962240 is an apocalyptic number.

9787962240 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 9787962240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20598536880).

9787962240 is an abundant number, since it is smaller than the sum of its proper divisors (31409111520).

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

9787962240 is an frugal number, since it uses more digits than its factorization.

9787962240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 9787962240 is about 98934.1308143959. The cubic root of 9787962240 is about 2139.0983944713.

The spelling of 9787962240 in words is "nine billion, seven hundred eighty-seven million, nine hundred sixty-two thousand, two hundred forty".