7760489904 has 160 divisors (see below), whose sum is σ = 23146772480. Its totient is φ = 2486764800.

The previous prime is 7760489897. The next prime is 7760489909. The reversal of 7760489904 is 4099840677.

It is a happy number.

7760489904 is a `hidden beast` number, since 7 + 76 + 0 + 489 + 90 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (7760489909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2100699 + ... + 2104389.

It is an arithmetic number, because the mean of its divisors is an integer number (144667328).

Almost surely, 2^7760489904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7760489904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11573386240).

7760489904 is an abundant number, since it is smaller than the sum of its proper divisors (15386282576).

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

7760489904 is a wasteful number, since it uses less digits than its factorization.

7760489904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3896 (or 3884 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 7760489904 is about 88093.6428126343. The cubic root of 7760489904 is about 1979.8382604339.

The spelling of 7760489904 in words is "seven billion, seven hundred sixty million, four hundred eighty-nine thousand, nine hundred four".