76057740 has 144 divisors (see below), whose sum is σ = 254741760. Its totient is φ = 18215040.

The previous prime is 76057739. The next prime is 76057753. The reversal of 76057740 is 4775067.

76057740 is a `hidden beast` number, since 7 + 605 + 7 + 7 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 76057695 and 76057704.

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, 211681 + ... + 212039.

It is an arithmetic number, because the mean of its divisors is an integer number (1769040).

Almost surely, 2^76057740 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 76057740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127370880).

76057740 is an abundant number, since it is smaller than the sum of its proper divisors (178684020).

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

76057740 is a wasteful number, since it uses less digits than its factorization.

76057740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 76057740 is about 8721.1088744494. The cubic root of 76057740 is about 423.6896016457.

The spelling of 76057740 in words is "seventy-six million, fifty-seven thousand, seven hundred forty".