7746480 has 240 divisors, whose sum is σ = 31337280. Its totient is φ = 1677312.

The previous prime is 7746461. The next prime is 7746491. The reversal of 7746480 is 846477.

It is a happy number.

7746480 is a `hidden beast` number, since 7 + 7 + 4 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146134 + ... + 146186.

It is an arithmetic number, because the mean of its divisors is an integer number (130572).

Almost surely, 2^7746480 is an apocalyptic number.

7746480 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

7746480 is the 1392-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7746480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15668640).

7746480 is an abundant number, since it is smaller than the sum of its proper divisors (23590800).

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

7746480 is a wasteful number, since it uses less digits than its factorization.

7746480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 7746480 is about 2783.2498989491. The cubic root of 7746480 is about 197.8646151330.

The spelling of 7746480 in words is "seven million, seven hundred forty-six thousand, four hundred eighty".