76867648 has 112 divisors (see below), whose sum is σ = 184855104. Its totient is φ = 31242240.

The previous prime is 76867621. The next prime is 76867657. The reversal of 76867648 is 84676867.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 76867595 and 76867604.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338511 + ... + 338737.

It is an arithmetic number, because the mean of its divisors is an integer number (1650492).

Almost surely, 2^76867648 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 76867648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92427552).

76867648 is an abundant number, since it is smaller than the sum of its proper divisors (107987456).

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

76867648 is a wasteful number, since it uses less digits than its factorization.

76867648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 290 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 52.

The square root of 76867648 is about 8767.4196888252. The cubic root of 76867648 is about 425.1881943926.

The spelling of 76867648 in words is "seventy-six million, eight hundred sixty-seven thousand, six hundred forty-eight".