76267368 has 96 divisors (see below), whose sum is σ = 219304800. Its totient is φ = 23877504.

The previous prime is 76267351. The next prime is 76267391. The reversal of 76267368 is 86376267.

It is a super-2 number, since 2×76267368² = 11633422843294848, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (508032) is a multiple of the sum of its prime divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 269355 + ... + 269637.

It is an arithmetic number, because the mean of its divisors is an integer number (2284425).

Almost surely, 2^76267368 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 76267368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109652400).

76267368 is an abundant number, since it is smaller than the sum of its proper divisors (143037432).

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

76267368 is a wasteful number, since it uses less digits than its factorization.

76267368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 504 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 76267368 is about 8733.1190304495. The cubic root of 76267368 is about 424.0784979855.

The spelling of 76267368 in words is "seventy-six million, two hundred sixty-seven thousand, three hundred sixty-eight".