7765061040 has 240 divisors, whose sum is σ = 29366977536. Its totient is φ = 1821657600.

The previous prime is 7765061039. The next prime is 7765061147. The reversal of 7765061040 is 401605677.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 7765060986 and 7765061004.

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 47 ways as a sum of consecutive naturals, for example, 229707 + ... + 261333.

Almost surely, 2^7765061040 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 7765061040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14683488768).

7765061040 is an abundant number, since it is smaller than the sum of its proper divisors (21601916496).

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

7765061040 is a wasteful number, since it uses less digits than its factorization.

7765061040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31688 (or 31679 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 7765061040 is about 88119.5837484495. The cubic root of 7765061040 is about 1980.2269100218.

The spelling of 7765061040 in words is "seven billion, seven hundred sixty-five million, sixty-one thousand, forty".