7802428920 has 512 divisors, whose sum is σ = 29314897920. Its totient is φ = 1634181120.

The previous prime is 7802428913. The next prime is 7802428937. The reversal of 7802428920 is 298242087.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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 127 ways as a sum of consecutive naturals, for example, 20917854 + ... + 20918226.

It is an arithmetic number, because the mean of its divisors is an integer number (57255660).

Almost surely, 2^7802428920 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 7802428920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14657448960).

7802428920 is an abundant number, since it is smaller than the sum of its proper divisors (21512469000).

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

7802428920 is a wasteful number, since it uses less digits than its factorization.

7802428920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 7802428920 is about 88331.3586445946. The cubic root of 7802428920 is about 1983.3983166964.

The spelling of 7802428920 in words is "seven billion, eight hundred two million, four hundred twenty-eight thousand, nine hundred twenty".