76850784 has 72 divisors (see below), whose sum is σ = 219459240. Its totient is φ = 25509888.

The previous prime is 76850759. The next prime is 76850819. The reversal of 76850784 is 48705867.

76850784 is a `hidden beast` number, since 7 + 68 + 507 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99552 + ... + 100320.

It is an arithmetic number, because the mean of its divisors is an integer number (3048045).

Almost surely, 2^76850784 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 76850784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109729620).

76850784 is an abundant number, since it is smaller than the sum of its proper divisors (142608456).

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

76850784 is a wasteful number, since it uses less digits than its factorization.

76850784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 76850784 is about 8766.4578935851. The cubic root of 76850784 is about 425.1570980934.

It can be divided in two parts, 76 and 850784, that added together give a triangular number (850860 = T₁₃₀₄).

The spelling of 76850784 in words is "seventy-six million, eight hundred fifty thousand, seven hundred eighty-four".