76742640 has 200 divisors, whose sum is σ = 287356608. Its totient is φ = 18869760.

The previous prime is 76742629. The next prime is 76742663. The reversal of 76742640 is 4624767.

76742640 is a `hidden beast` number, since 7 + 6 + 7 + 4 + 2 + 640 = 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 = 76742595 and 76742604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 83785 + ... + 84695.

Almost surely, 2^76742640 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 76742640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143678304).

76742640 is an abundant number, since it is smaller than the sum of its proper divisors (210613968).

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

76742640 is a wasteful number, since it uses less digits than its factorization.

76742640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 76742640 is about 8760.2876665096. The cubic root of 76742640 is about 424.9575782341.

The spelling of 76742640 in words is "seventy-six million, seven hundred forty-two thousand, six hundred forty".