76211640 has 96 divisors (see below), whose sum is σ = 255715200. Its totient is φ = 19664640.

The previous prime is 76211633. The next prime is 76211651. The reversal of 76211640 is 4611267.

76211640 is a `hidden beast` number, since 7 + 6 + 2 + 11 + 640 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7746 + ... + 14574.

It is an arithmetic number, because the mean of its divisors is an integer number (2663700).

Almost surely, 2^76211640 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 76211640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127857600).

76211640 is an abundant number, since it is smaller than the sum of its proper divisors (179503560).

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

76211640 is a wasteful number, since it uses less digits than its factorization.

76211640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6877 (or 6870 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 76211640 is about 8729.9278347533. The cubic root of 76211640 is about 423.9751824800.

It can be divided in two parts, 7621 and 1640, that added together give a cube (9261 = 21³).

The spelling of 76211640 in words is "seventy-six million, two hundred eleven thousand, six hundred forty".