7783849920 has 560 divisors, whose sum is σ = 31554407808. Its totient is φ = 1612154880.

The previous prime is 7783849901. The next prime is 7783849937. The reversal of 7783849920 is 299483877.

It is a tau number, because it is divible by the number of its divisors (560).

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 79 ways as a sum of consecutive naturals, for example, 25354407 + ... + 25354713.

Almost surely, 2^7783849920 is an apocalyptic number.

7783849920 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 7783849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15777203904).

7783849920 is an abundant number, since it is smaller than the sum of its proper divisors (23770557888).

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

7783849920 is a wasteful number, since it uses less digits than its factorization.

7783849920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 57.

The square root of 7783849920 is about 88226.1294628751. The cubic root of 7783849920 is about 1981.8227883170.

The spelling of 7783849920 in words is "seven billion, seven hundred eighty-three million, eight hundred forty-nine thousand, nine hundred twenty".