76947456 has 112 divisors (see below), whose sum is σ = 213896448. Its totient is φ = 24576000.

The previous prime is 76947449. The next prime is 76947499. The reversal of 76947456 is 65474967.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 761806 + ... + 761906.

Almost surely, 2^76947456 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 76947456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106948224).

76947456 is an abundant number, since it is smaller than the sum of its proper divisors (136948992).

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

76947456 is a wasteful number, since it uses less digits than its factorization.

76947456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 137 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 48.

The square root of 76947456 is about 8771.9699041891. The cubic root of 76947456 is about 425.3352943463.

The spelling of 76947456 in words is "seventy-six million, nine hundred forty-seven thousand, four hundred fifty-six".