7801405920 has 768 divisors, whose sum is σ = 34836480000. Its totient is φ = 1583400960.

The previous prime is 7801405919. The next prime is 7801405973. The reversal of 7801405920 is 295041087.

It is a super-2 number, since 2×7801405920² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15633831 + ... + 15634329.

It is an arithmetic number, because the mean of its divisors is an integer number (45360000).

Almost surely, 2^7801405920 is an apocalyptic number.

7801405920 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 7801405920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17418240000).

7801405920 is an abundant number, since it is smaller than the sum of its proper divisors (27035074080).

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

7801405920 is a wasteful number, since it uses less digits than its factorization.

7801405920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 7801405920 is about 88325.5677592847. The cubic root of 7801405920 is about 1983.3116297949.

The spelling of 7801405920 in words is "seven billion, eight hundred one million, four hundred five thousand, nine hundred twenty".