76034880 has 168 divisors, whose sum is σ = 277090632. Its totient is φ = 19070976.

The previous prime is 76034873. The next prime is 76034911. The reversal of 76034880 is 8843067.

76034880 is a `hidden beast` number, since 7 + 603 + 48 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4260096 + 71774784 = 2064^2 + 8472^2 .

It is a super-2 number, since 2×76034880² = 11562605953228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48184 + ... + 49736.

It is an arithmetic number, because the mean of its divisors is an integer number (1649349).

Almost surely, 2^76034880 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 76034880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138545316).

76034880 is an abundant number, since it is smaller than the sum of its proper divisors (201055752).

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

76034880 is a wasteful number, since it uses less digits than its factorization.

76034880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 76034880 is about 8719.7981628017. The cubic root of 76034880 is about 423.6471491842.

The spelling of 76034880 in words is "seventy-six million, thirty-four thousand, eight hundred eighty".