76227648 has 112 divisors (see below), whose sum is σ = 236037120. Its totient is φ = 21256704.

The previous prime is 76227647. The next prime is 76227649. The reversal of 76227648 is 84672267.

It is an interprime number because it is at equal distance from previous prime (76227647) and next prime (76227649).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×76227648² = 11621308639223808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (76227647) 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, 57133 + ... + 58451.

Almost surely, 2^76227648 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 76227648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118018560).

76227648 is an abundant number, since it is smaller than the sum of its proper divisors (159809472).

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

76227648 is a wasteful number, since it uses less digits than its factorization.

76227648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1374 counting only the distinct ones).

The product of its digits is 225792, while the sum is 42.

The square root of 76227648 is about 8730.8446326802. The cubic root of 76227648 is about 424.0048652580.

The spelling of 76227648 in words is "seventy-six million, two hundred twenty-seven thousand, six hundred forty-eight".