76098126283776 has 297 divisors, whose sum is σ = 222446194676823. Its totient is φ = 25056465223680.

The previous prime is 76098126283771. The next prime is 76098126283801. The reversal of 76098126283776 is 67738262189067.

The square root of 76098126283776 is 8723424.

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

76098126283776 is a `hidden beast` number, since 7 + 609 + 8 + 1 + 2 + 6 + 2 + 8 + 3 + 7 + 7 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4632068146176 + 71466058137600 = 2152224^2 + 8453760^2 .

It is a super-3 number, since 3×76098126283776³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (76098126283771) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 74532934146 + ... + 74532935166.

Almost surely, 2^{76098126283776} is an apocalyptic number.

76098126283776 is the 8723424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76098126283776

76098126283776 is an abundant number, since it is smaller than the sum of its proper divisors (146348068393047).

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

76098126283776 is an frugal number, since it uses more digits than its factorization.

76098126283776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2246 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 72.

The spelling of 76098126283776 in words is "seventy-six trillion, ninety-eight billion, one hundred twenty-six million, two hundred eighty-three thousand, seven hundred seventy-six".