76534944 has 96 divisors (see below), whose sum is σ = 213736320. Its totient is φ = 23933952.

The previous prime is 76534933. The next prime is 76534949. The reversal of 76534944 is 44943567.

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

It is a junction number, because it is equal to n+sod(n) for n = 76534896 and 76534905.

It is not an unprimeable number, because it can be changed into a prime (76534949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102637 + ... + 103379.

It is an arithmetic number, because the mean of its divisors is an integer number (2226420).

Almost surely, 2^76534944 is an apocalyptic number.

76534944 is a gapful number since it is divisible by the number (74) 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 76534944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106868160).

76534944 is an abundant number, since it is smaller than the sum of its proper divisors (137201376).

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

76534944 is a wasteful number, since it uses less digits than its factorization.

76534944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 814 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 76534944 is about 8748.4252297199. The cubic root of 76534944 is about 424.5738639865.

The spelling of 76534944 in words is "seventy-six million, five hundred thirty-four thousand, nine hundred forty-four".