76034829240 has 192 divisors, whose sum is σ = 251903433600. Its totient is φ = 19886466816.

The previous prime is 76034829239. The next prime is 76034829253. The reversal of 76034829240 is 4292843067.

76034829240 is a `hidden beast` number, since 7 + 60 + 348 + 2 + 9 + 240 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4144167 + ... + 4162473.

It is an arithmetic number, because the mean of its divisors is an integer number (1311997050).

Almost surely, 2^76034829240 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 76034829240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125951716800).

76034829240 is an abundant number, since it is smaller than the sum of its proper divisors (175868604360).

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

76034829240 is a wasteful number, since it uses less digits than its factorization.

76034829240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18546 (or 18539 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 76034829240 in words is "seventy-six billion, thirty-four million, eight hundred twenty-nine thousand, two hundred forty".