7680312 has 96 divisors (see below), whose sum is σ = 22640400. Its totient is φ = 2410560.

The previous prime is 7680293. The next prime is 7680329. The reversal of 7680312 is 2130867.

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207558 + ... + 207594.

Almost surely, 2^7680312 is an apocalyptic number.

7680312 is a gapful number since it is divisible by the number (72) 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 7680312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11320200).

7680312 is an abundant number, since it is smaller than the sum of its proper divisors (14960088).

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

7680312 is a wasteful number, since it uses less digits than its factorization.

7680312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 7680312 is about 2771.3375831897. The cubic root of 7680312 is about 197.2996376400.

The spelling of 7680312 in words is "seven million, six hundred eighty thousand, three hundred twelve".