7782800040 has 48 divisors (see below), whose sum is σ = 25294101300. Its totient is φ = 2075413248.

The previous prime is 7782800009. The next prime is 7782800057. The reversal of 7782800040 is 400082877.

It can be written as a sum of positive squares in 2 ways, for example, as 7340034276 + 442765764 = 85674^2 + 21042^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 7782799968 and 7782800004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10809085 + ... + 10809804.

Almost surely, 2^7782800040 is an apocalyptic number.

It is an amenable number.

7782800040 is an abundant number, since it is smaller than the sum of its proper divisors (17511301260).

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

7782800040 is a wasteful number, since it uses less digits than its factorization.

7782800040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21618906 (or 21618899 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 7782800040 is about 88220.1793242340. The cubic root of 7782800040 is about 1981.7336820399.

The spelling of 7782800040 in words is "seven billion, seven hundred eighty-two million, eight hundred thousand, forty".