76456416 has 96 divisors (see below), whose sum is σ = 216373248. Its totient is φ = 23569920.

The previous prime is 76456411. The next prime is 76456423. The reversal of 76456416 is 61465467.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76456411) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 67890 + ... + 69006.

It is an arithmetic number, because the mean of its divisors is an integer number (2253888).

Almost surely, 2^76456416 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 76456416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108186624).

76456416 is an abundant number, since it is smaller than the sum of its proper divisors (139916832).

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

76456416 is a wasteful number, since it uses less digits than its factorization.

76456416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1176 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 76456416 is about 8743.9359558496. The cubic root of 76456416 is about 424.4286042128.

The spelling of 76456416 in words is "seventy-six million, four hundred fifty-six thousand, four hundred sixteen".