7803690720 has 384 divisors, whose sum is σ = 29575590912. Its totient is φ = 1692057600.

The previous prime is 7803690703. The next prime is 7803690743. The reversal of 7803690720 is 270963087.

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 Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5096355 + ... + 5097885.

It is an arithmetic number, because the mean of its divisors is an integer number (77019768).

Almost surely, 2^7803690720 is an apocalyptic number.

7803690720 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 7803690720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14787795456).

7803690720 is an abundant number, since it is smaller than the sum of its proper divisors (21771900192).

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

7803690720 is a wasteful number, since it uses less digits than its factorization.

7803690720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 7803690720 is about 88338.5007796714. The cubic root of 7803690720 is about 1983.5052285792.

The spelling of 7803690720 in words is "seven billion, eight hundred three million, six hundred ninety thousand, seven hundred twenty".