76826880 has 432 divisors, whose sum is σ = 312486720. Its totient is φ = 17915904.

The previous prime is 76826863. The next prime is 76826881. The reversal of 76826880 is 8862867.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76826881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4043511 + ... + 4043529.

Almost surely, 2^76826880 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 76826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156243360).

76826880 is an abundant number, since it is smaller than the sum of its proper divisors (235659840).

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

76826880 is a wasteful number, since it uses less digits than its factorization.

76826880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 76826880 is about 8765.0944090751. The cubic root of 76826880 is about 425.1130126218.

The spelling of 76826880 in words is "seventy-six million, eight hundred twenty-six thousand, eight hundred eighty".