76358880 has 144 divisors (see below), whose sum is σ = 280687680. Its totient is φ = 18791424.

The previous prime is 76358869. The next prime is 76358881. The reversal of 76358880 is 8885367.

76358880 is a `hidden beast` number, since 7 + 63 + 588 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76358881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16681 + ... + 20759.

It is an arithmetic number, because the mean of its divisors is an integer number (1949220).

Almost surely, 2^76358880 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 76358880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140343840).

76358880 is an abundant number, since it is smaller than the sum of its proper divisors (204328800).

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

76358880 is a wasteful number, since it uses less digits than its factorization.

76358880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4113 (or 4102 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 76358880 is about 8738.3568249414. The cubic root of 76358880 is about 424.2480452028.

The spelling of 76358880 in words is "seventy-six million, three hundred fifty-eight thousand, eight hundred eighty".