76120941639900 has 144 divisors (see below), whose sum is σ = 222731293972320. Its totient is φ = 20069633126400.

The previous prime is 76120941639889. The next prime is 76120941639901. The reversal of 76120941639900 is 993614902167.

It is a super-3 number, since 3×76120941639900³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76120941639901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 498172312 + ... + 498325088.

It is an arithmetic number, because the mean of its divisors is an integer number (1546745097030).

Almost surely, 2^{76120941639900} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76120941639900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111365646986160).

76120941639900 is an abundant number, since it is smaller than the sum of its proper divisors (146610352332420).

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

76120941639900 is a wasteful number, since it uses less digits than its factorization.

76120941639900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171544 (or 171537 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 57.

The spelling of 76120941639900 in words is "seventy-six trillion, one hundred twenty billion, nine hundred forty-one million, six hundred thirty-nine thousand, nine hundred".