7802630640 has 240 divisors, whose sum is σ = 31264025760. Its totient is φ = 1783434240.

The previous prime is 7802630617. The next prime is 7802630651. The reversal of 7802630640 is 460362087.

7802630640 is a `hidden beast` number, since 7 + 8 + 0 + 2 + 6 + 3 + 0 + 640 = 666.

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 = 7802630595 and 7802630604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68980 + ... + 142700.

It is an arithmetic number, because the mean of its divisors is an integer number (130266774).

Almost surely, 2^7802630640 is an apocalyptic number.

7802630640 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 7802630640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15632012880).

7802630640 is an abundant number, since it is smaller than the sum of its proper divisors (23461395120).

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

7802630640 is a wasteful number, since it uses less digits than its factorization.

7802630640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73757 (or 73738 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 7802630640 is about 88332.5004740611. The cubic root of 7802630640 is about 1983.4154091371.

The spelling of 7802630640 in words is "seven billion, eight hundred two million, six hundred thirty thousand, six hundred forty".