7706327040 has 576 divisors, whose sum is σ = 29334614400. Its totient is φ = 1934917632.

The previous prime is 7706327029. The next prime is 7706327051. The reversal of 7706327040 is 407236077.

It is an interprime number because it is at equal distance from previous prime (7706327029) and next prime (7706327051).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7706326986 and 7706327004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47277999 + ... + 47278161.

It is an arithmetic number, because the mean of its divisors is an integer number (50928150).

Almost surely, 2^7706327040 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 7706327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14667307200).

7706327040 is an abundant number, since it is smaller than the sum of its proper divisors (21628287360).

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

7706327040 is a wasteful number, since it uses less digits than its factorization.

7706327040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 7706327040 is about 87785.6881273935. The cubic root of 7706327040 is about 1975.2215349424.

The spelling of 7706327040 in words is "seven billion, seven hundred six million, three hundred twenty-seven thousand, forty".