76318945248 has 576 divisors, whose sum is σ = 264122933760. Its totient is φ = 18839568384.

The previous prime is 76318945237. The next prime is 76318945259. The reversal of 76318945248 is 84254981367.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (76318945237) and next prime (76318945259).

It is a super-3 number, since 3×76318945248³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 243830340 + ... + 243830652.

It is an arithmetic number, because the mean of its divisors is an integer number (458546760).

Almost surely, 2^76318945248 is an apocalyptic number.

76318945248 is a gapful number since it is divisible by the number (78) 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 76318945248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132061466880).

76318945248 is an abundant number, since it is smaller than the sum of its proper divisors (187803988512).

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

76318945248 is a wasteful number, since it uses less digits than its factorization.

76318945248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 470 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 57.

The spelling of 76318945248 in words is "seventy-six billion, three hundred eighteen million, nine hundred forty-five thousand, two hundred forty-eight".