76505856 has 216 divisors, whose sum is σ = 251657280. Its totient is φ = 20514816.

The previous prime is 76505839. The next prime is 76505867. The reversal of 76505856 is 65850567.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 714955 + ... + 715061.

It is an arithmetic number, because the mean of its divisors is an integer number (1165080).

Almost surely, 2^76505856 is an apocalyptic number.

76505856 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76505856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125828640).

76505856 is an abundant number, since it is smaller than the sum of its proper divisors (175151424).

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

76505856 is a wasteful number, since it uses less digits than its factorization.

76505856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

The square root of 76505856 is about 8746.7626010999. The cubic root of 76505856 is about 424.5200690844.

The spelling of 76505856 in words is "seventy-six million, five hundred five thousand, eight hundred fifty-six".