76121164700 has 144 divisors (see below), whose sum is σ = 190582593600. Its totient is φ = 25850603520.

The previous prime is 76121164687. The next prime is 76121164739. The reversal of 76121164700 is 746112167.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47664302 + ... + 47665898.

Almost surely, 2^76121164700 is an apocalyptic number.

76121164700 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 76121164700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95291296800).

76121164700 is an abundant number, since it is smaller than the sum of its proper divisors (114461428900).

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

76121164700 is a wasteful number, since it uses less digits than its factorization.

76121164700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

Adding to 76121164700 its reverse (746112167), we get a palindrome (76867276867).

The spelling of 76121164700 in words is "seventy-six billion, one hundred twenty-one million, one hundred sixty-four thousand, seven hundred".