76326217984 has 81 divisors (see below), whose sum is σ = 157710620361. Its totient is φ = 36865735680.

The previous prime is 76326217967. The next prime is 76326217987. The reversal of 76326217984 is 48971262367.

The square root of 76326217984 is 276272.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6697785600 + 69628432384 = 81840^2 + 263872^2 .

It is a super-3 number, since 3×76326217984³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (76326217987) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 137030634 + ... + 137031190.

Almost surely, 2^76326217984 is an apocalyptic number.

76326217984 is the 276272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76326217984

76326217984 is an abundant number, since it is smaller than the sum of its proper divisors (81384402377).

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

76326217984 is an frugal number, since it uses more digits than its factorization.

76326217984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 590 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 55.

The spelling of 76326217984 in words is "seventy-six billion, three hundred twenty-six million, two hundred seventeen thousand, nine hundred eighty-four".