76121916 has 48 divisors (see below), whose sum is σ = 194162304. Its totient is φ = 23069376.

The previous prime is 76121909. The next prime is 76121917. The reversal of 76121916 is 61912167.

It is a super-2 number, since 2×76121916² = 11589092191022112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76121917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6811 + ... + 14093.

It is an arithmetic number, because the mean of its divisors is an integer number (4045048).

Almost surely, 2^76121916 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 76121916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97081152).

76121916 is an abundant number, since it is smaller than the sum of its proper divisors (118040388).

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

76121916 is a wasteful number, since it uses less digits than its factorization.

76121916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7370 (or 7368 counting only the distinct ones).

The product of its digits is 4536, while the sum is 33.

The square root of 76121916 is about 8724.7874472677. The cubic root of 76121916 is about 423.8087350821.

The spelling of 76121916 in words is "seventy-six million, one hundred twenty-one thousand, nine hundred sixteen".