76045360 has 80 divisors (see below), whose sum is σ = 189648576. Its totient is φ = 28283904.

The previous prime is 76045327. The next prime is 76045363. The reversal of 76045360 is 6354067.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (76045363) 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, 67522 + ... + 68638.

Almost surely, 2^76045360 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 76045360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94824288).

76045360 is an abundant number, since it is smaller than the sum of its proper divisors (113603216).

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

76045360 is a wasteful number, since it uses less digits than its factorization.

76045360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 76045360 is about 8720.3990734369. The cubic root of 76045360 is about 423.6666122612. Note that the first 4 decimals are identical.

The spelling of 76045360 in words is "seventy-six million, forty-five thousand, three hundred sixty".