7776320832 has 336 divisors, whose sum is σ = 26250107520. Its totient is φ = 2155216896.

The previous prime is 7776320831. The next prime is 7776320833. The reversal of 7776320832 is 2380236777.

7776320832 is a `hidden beast` number, since 7 + 7 + 7 + 632 + 0 + 8 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (7776320831) and next prime (7776320833).

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7776320831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23074968 + ... + 23075304.

It is an arithmetic number, because the mean of its divisors is an integer number (78125320).

Almost surely, 2^7776320832 is an apocalyptic number.

7776320832 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 7776320832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13125053760).

7776320832 is an abundant number, since it is smaller than the sum of its proper divisors (18473786688).

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

7776320832 is a wasteful number, since it uses less digits than its factorization.

7776320832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The square root of 7776320832 is about 88183.4498758129. The cubic root of 7776320832 is about 1981.1835959765.

The spelling of 7776320832 in words is "seven billion, seven hundred seventy-six million, three hundred twenty thousand, eight hundred thirty-two".