76968900 has 144 divisors (see below), whose sum is σ = 256233600. Its totient is φ = 19797120.

The previous prime is 76968851. The next prime is 76968907. The reversal of 76968900 is 986967.

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

It is not an unprimeable number, because it can be changed into a prime (76968907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77809 + ... + 78791.

It is an arithmetic number, because the mean of its divisors is an integer number (1779400).

Almost surely, 2^76968900 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 76968900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128116800).

76968900 is an abundant number, since it is smaller than the sum of its proper divisors (179264700).

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

76968900 is a wasteful number, since it uses less digits than its factorization.

76968900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 76968900 is about 8773.1921214573. The cubic root of 76968900 is about 425.3748020111.

The spelling of 76968900 in words is "seventy-six million, nine hundred sixty-eight thousand, nine hundred".