76032261243904 has 495 divisors, whose sum is σ = 182192143459767. Its totient is φ = 31712173903872.

The previous prime is 76032261243901. The next prime is 76032261243931. The reversal of 76032261243904 is 40934216223067.

The square root of 76032261243904 is 8719648.

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

It is a super-2 number, since 2×76032261243904² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (76032261243901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 916051340247 + ... + 916051340329.

Almost surely, 2^{76032261243904} is an apocalyptic number.

76032261243904 is the 8719648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76032261243904

76032261243904 is an abundant number, since it is smaller than the sum of its proper divisors (106159882215863).

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

76032261243904 is an frugal number, since it uses more digits than its factorization.

76032261243904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 49.

76032261243904 divided by its sum of digits (49) gives a square (1551678800896 = 1245664²).

The spelling of 76032261243904 in words is "seventy-six trillion, thirty-two billion, two hundred sixty-one million, two hundred forty-three thousand, nine hundred four".