7862960 has 80 divisors (see below), whose sum is σ = 22022400. Its totient is φ = 2550528.

The previous prime is 7862927. The next prime is 7862963. The reversal of 7862960 is 692687.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×7862960² = 123652279923200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (7862963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10271 + ... + 11009.

It is an arithmetic number, because the mean of its divisors is an integer number (275280).

Almost surely, 2^7862960 is an apocalyptic number.

7862960 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 7862960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11011200).

7862960 is an abundant number, since it is smaller than the sum of its proper divisors (14159440).

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

7862960 is a wasteful number, since it uses less digits than its factorization.

7862960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 7862960 is about 2804.0970026017. The cubic root of 7862960 is about 198.8514164058.

The spelling of 7862960 in words is "seven million, eight hundred sixty-two thousand, nine hundred sixty".