7738920 has 192 divisors, whose sum is σ = 29877120. Its totient is φ = 1700352.

The previous prime is 7738889. The next prime is 7738937. The reversal of 7738920 is 298377.

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

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, 93199 + ... + 93281.

It is an arithmetic number, because the mean of its divisors is an integer number (155610).

Almost surely, 2^7738920 is an apocalyptic number.

7738920 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 7738920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14938560).

7738920 is an abundant number, since it is smaller than the sum of its proper divisors (22138200).

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

7738920 is a wasteful number, since it uses less digits than its factorization.

7738920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 7738920 is about 2781.8914428856. The cubic root of 7738920 is about 197.8002270337.

The spelling of 7738920 in words is "seven million, seven hundred thirty-eight thousand, nine hundred twenty".