76161827840 has 176 divisors, whose sum is σ = 221083074432. Its totient is φ = 24576393216.

The previous prime is 76161827839. The next prime is 76161827939. The reversal of 76161827840 is 4872816167.

It is a happy number.

It is a zygodrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 546779 + ... + 671781.

It is an arithmetic number, because the mean of its divisors is an integer number (1256153832).

Almost surely, 2^76161827840 is an apocalyptic number.

76161827840 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 76161827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110541537216).

76161827840 is an abundant number, since it is smaller than the sum of its proper divisors (144921246592).

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

76161827840 is a wasteful number, since it uses less digits than its factorization.

76161827840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125052 (or 125034 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 50.

The spelling of 76161827840 in words is "seventy-six billion, one hundred sixty-one million, eight hundred twenty-seven thousand, eight hundred forty".