76885800 has 96 divisors (see below), whose sum is σ = 240460800. Its totient is φ = 20321280.

The previous prime is 76885777. The next prime is 76885801. The reversal of 76885800 is 858867.

It is a happy number.

It is a super-2 number, since 2×76885800² = 11822852483280000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (76885801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75696 + ... + 76704.

It is an arithmetic number, because the mean of its divisors is an integer number (2504800).

Almost surely, 2^76885800 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 76885800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120230400).

76885800 is an abundant number, since it is smaller than the sum of its proper divisors (163575000).

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

76885800 is a wasteful number, since it uses less digits than its factorization.

76885800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 76885800 is about 8768.4548239698. The cubic root of 76885800 is about 425.2216606117.

It can be divided in two parts, 768 and 85800, that added together give a palindrome (86568).

The spelling of 76885800 in words is "seventy-six million, eight hundred eighty-five thousand, eight hundred".