7782750000 has 280 divisors, whose sum is σ = 27948079760. Its totient is φ = 2073600000.

The previous prime is 7782749977. The next prime is 7782750013. The reversal of 7782750000 is 572877.

7782750000 is a `hidden beast` number, since 77 + 82 + 7 + 500 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 55 ways as a sum of consecutive naturals, for example, 6749424 + ... + 6750576.

Almost surely, 2^7782750000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7782750000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13974039880).

7782750000 is an abundant number, since it is smaller than the sum of its proper divisors (20165329760).

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

7782750000 is an equidigital number, since it uses as much as digits as its factorization.

7782750000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 36.

The square root of 7782750000 is about 88219.8957151957. The cubic root of 7782750000 is about 1981.7294348039.

The spelling of 7782750000 in words is "seven billion, seven hundred eighty-two million, seven hundred fifty thousand".