76978215189120 has 1024 divisors, whose sum is σ = 291555624960000. Its totient is φ = 16913064591360.

The previous prime is 76978215189077. The next prime is 76978215189121. The reversal of 76978215189120 is 2198151287967.

It is a super-2 number, since 2×76978215189120² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (76978215189121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8368102281 + ... + 8368111479.

It is an arithmetic number, because the mean of its divisors is an integer number (284722290000).

Almost surely, 2^{76978215189120} is an apocalyptic number.

76978215189120 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 76978215189120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145777812480000).

76978215189120 is an abundant number, since it is smaller than the sum of its proper divisors (214577409770880).

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

76978215189120 is a wasteful number, since it uses less digits than its factorization.

76978215189120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9521 (or 9509 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 66.

The spelling of 76978215189120 in words is "seventy-six trillion, nine hundred seventy-eight billion, two hundred fifteen million, one hundred eighty-nine thousand, one hundred twenty".