76023648 has 108 divisors (see below), whose sum is σ = 226453500. Its totient is φ = 24190848.

The previous prime is 76023637. The next prime is 76023667. The reversal of 76023648 is 84632067.

76023648 is a `hidden beast` number, since 7 + 6 + 0 + 2 + 3 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 152103 + ... + 152601.

Almost surely, 2^76023648 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 76023648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113226750).

76023648 is an abundant number, since it is smaller than the sum of its proper divisors (150429852).

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

76023648 is a wasteful number, since it uses less digits than its factorization.

76023648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 76023648 is about 8719.1540874101. The cubic root of 76023648 is about 423.6262875345.

The spelling of 76023648 in words is "seventy-six million, twenty-three thousand, six hundred forty-eight".