7806960 has 120 divisors (see below), whose sum is σ = 29983200. Its totient is φ = 1783296.

The previous prime is 7806943. The next prime is 7806973. The reversal of 7806960 is 696087.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4266 + ... + 5814.

It is an arithmetic number, because the mean of its divisors is an integer number (249860).

Almost surely, 2^7806960 is an apocalyptic number.

7806960 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 7806960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14991600).

7806960 is an abundant number, since it is smaller than the sum of its proper divisors (22176240).

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

7806960 is a wasteful number, since it uses less digits than its factorization.

7806960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 7806960 is about 2794.0937707958. The cubic root of 7806960 is about 198.3782179954.

The spelling of 7806960 in words is "seven million, eight hundred six thousand, nine hundred sixty".