76881000 has 192 divisors, whose sum is σ = 279564480. Its totient is φ = 17539200.

The previous prime is 76880981. The next prime is 76881029. The reversal of 76881000 is 18867.

It is a super-2 number, since 2×76881000² = 11821376322000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146739 + ... + 147261.

It is an arithmetic number, because the mean of its divisors is an integer number (1456065).

Almost surely, 2^76881000 is an apocalyptic number.

76881000 is a gapful number since it is divisible by the number (70) 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 76881000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139782240).

76881000 is an abundant number, since it is smaller than the sum of its proper divisors (202683480).

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

76881000 is a wasteful number, since it uses less digits than its factorization.

76881000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 76881000 is about 8768.1811112682. The cubic root of 76881000 is about 425.2128115289.

Adding to 76881000 its reverse (18867), we get a palindrome (76899867).

The spelling of 76881000 in words is "seventy-six million, eight hundred eighty-one thousand".