76821534 has 48 divisors (see below), whose sum is σ = 178214400. Its totient is φ = 24776280.

The previous prime is 76821523. The next prime is 76821557. The reversal of 76821534 is 43512867.

It is a super-2 number, since 2×76821534² = 11803096172226312, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12517 + ... + 17615.

It is an arithmetic number, because the mean of its divisors is an integer number (3712800).

Almost surely, 2^76821534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76821534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89107200).

76821534 is an abundant number, since it is smaller than the sum of its proper divisors (101392866).

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

76821534 is a wasteful number, since it uses less digits than its factorization.

76821534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5147 (or 5135 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 76821534 is about 8764.7894441338. The cubic root of 76821534 is about 425.1031518939.

It can be divided in two parts, 7682 and 1534, that added together give a square (9216 = 96²).

The spelling of 76821534 in words is "seventy-six million, eight hundred twenty-one thousand, five hundred thirty-four".