73778976 has 144 divisors (see below), whose sum is σ = 224733600. Its totient is φ = 22892544.

The previous prime is 73778941. The next prime is 73779001. The reversal of 73778976 is 67987737.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 530715 + ... + 530853.

It is an arithmetic number, because the mean of its divisors is an integer number (1560650).

Almost surely, 2^73778976 is an apocalyptic number.

73778976 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 73778976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112366800).

73778976 is an abundant number, since it is smaller than the sum of its proper divisors (150954624).

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

73778976 is a wasteful number, since it uses less digits than its factorization.

73778976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 260 counting only the distinct ones).

The product of its digits is 3111696, while the sum is 54.

The square root of 73778976 is about 8589.4689009275. The cubic root of 73778976 is about 419.4152406484.

The spelling of 73778976 in words is "seventy-three million, seven hundred seventy-eight thousand, nine hundred seventy-six".