76722347520 has 1920 divisors, whose sum is σ = 358621046784. Its totient is φ = 14714929152.

The previous prime is 76722347519. The next prime is 76722347521. The reversal of 76722347520 is 2574322767.

76722347520 is a `hidden beast` number, since 7 + 67 + 2 + 23 + 47 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (76722347519) and next prime (76722347521).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76722347521) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 1784240619 + ... + 1784240661.

Almost surely, 2^76722347520 is an apocalyptic number.

76722347520 is a gapful number since it is divisible by the number (70) 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 76722347520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179310523392).

76722347520 is an abundant number, since it is smaller than the sum of its proper divisors (281898699264).

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

76722347520 is a wasteful number, since it uses less digits than its factorization.

76722347520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The spelling of 76722347520 in words is "seventy-six billion, seven hundred twenty-two million, three hundred forty-seven thousand, five hundred twenty".