7782344640 has 252 divisors, whose sum is σ = 31138877016. Its totient is φ = 1778789376.

The previous prime is 7782344627. The next prime is 7782344663. The reversal of 7782344640 is 464432877.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-3 number, since 3×7782344640³ (a number of 31 digits) contains 333 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 113547 + ... + 168693.

Almost surely, 2^7782344640 is an apocalyptic number.

7782344640 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 7782344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15569438508).

7782344640 is an abundant number, since it is smaller than the sum of its proper divisors (23356532376).

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

7782344640 is a wasteful number, since it uses less digits than its factorization.

7782344640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55184 (or 55164 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The square root of 7782344640 is about 88217.5982443412. The cubic root of 7782344640 is about 1981.6950284655.

The spelling of 7782344640 in words is "seven billion, seven hundred eighty-two million, three hundred forty-four thousand, six hundred forty".