76121580 has 96 divisors (see below), whose sum is σ = 231892416. Its totient is φ = 18579456.

The previous prime is 76121569. The next prime is 76121587. The reversal of 76121580 is 8512167.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (76121587) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36732 + ... + 38748.

It is an arithmetic number, because the mean of its divisors is an integer number (2415546).

Almost surely, 2^76121580 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 76121580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115946208).

76121580 is an abundant number, since it is smaller than the sum of its proper divisors (155770836).

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

76121580 is a wasteful number, since it uses less digits than its factorization.

76121580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 76121580 is about 8724.7681917630. The cubic root of 76121580 is about 423.8081115212.

The spelling of 76121580 in words is "seventy-six million, one hundred twenty-one thousand, five hundred eighty".