76073376 has 48 divisors (see below), whose sum is σ = 202523328. Its totient is φ = 24998400.

The previous prime is 76073353. The next prime is 76073377. The reversal of 76073376 is 67337067.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (76073377) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1236 + ... + 12396.

It is an arithmetic number, because the mean of its divisors is an integer number (4219236).

Almost surely, 2^76073376 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 76073376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101261664).

76073376 is an abundant number, since it is smaller than the sum of its proper divisors (126449952).

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

76073376 is a wasteful number, since it uses less digits than its factorization.

76073376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11245 (or 11237 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 39.

The square root of 76073376 is about 8722.0052740181. The cubic root of 76073376 is about 423.7186337849.

The spelling of 76073376 in words is "seventy-six million, seventy-three thousand, three hundred seventy-six".