7823874240 has 1120 divisors, whose sum is σ = 35688812544. Its totient is φ = 1582571520.

The previous prime is 7823874197. The next prime is 7823874259. The reversal of 7823874240 is 424783287.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×7823874240² (a number of 21 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 73120267 + ... + 73120373.

Almost surely, 2^7823874240 is an apocalyptic number.

7823874240 is a gapful number since it is divisible by the number (70) 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 7823874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17844406272).

7823874240 is an abundant number, since it is smaller than the sum of its proper divisors (27864938304).

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

7823874240 is a wasteful number, since it uses less digits than its factorization.

7823874240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The square root of 7823874240 is about 88452.6666641543. Note that the first 5 decimals coincide. The cubic root of 7823874240 is about 1985.2138069752.

The spelling of 7823874240 in words is "seven billion, eight hundred twenty-three million, eight hundred seventy-four thousand, two hundred forty".