7801920 has 280 divisors, whose sum is σ = 32455104. Its totient is φ = 1741824.

The previous prime is 7801919. The next prime is 7801921. The reversal of 7801920 is 291087.

It is an interprime number because it is at equal distance from previous prime (7801919) and next prime (7801921).

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (7801921) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 181419 + ... + 181461.

Almost surely, 2^7801920 is an apocalyptic number.

7801920 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 7801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16227552).

7801920 is an abundant number, since it is smaller than the sum of its proper divisors (24653184).

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

7801920 is a wasteful number, since it uses less digits than its factorization.

7801920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 7801920 is about 2793.1917227430. The cubic root of 7801920 is about 198.3355192817.

The spelling of 7801920 in words is "seven million, eight hundred one thousand, nine hundred twenty".