76543488 has 240 divisors, whose sum is σ = 265898160. Its totient is φ = 21676032.

The previous prime is 76543459. The next prime is 76543531. The reversal of 76543488 is 88434567.

It is a super-2 number, since 2×76543488² = 11717811110412288, which contains 22 as substring.

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, 677320 + ... + 677432.

It is an arithmetic number, because the mean of its divisors is an integer number (1107909).

Almost surely, 2^76543488 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 76543488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132949080).

76543488 is an abundant number, since it is smaller than the sum of its proper divisors (189354672).

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

76543488 is a wasteful number, since it uses less digits than its factorization.

76543488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 125 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 76543488 is about 8748.9135325479. The cubic root of 76543488 is about 424.5896625396.

It can be divided in two parts, 765 and 43488, that added together give a triangular number (44253 = T₂₉₇).

The spelling of 76543488 in words is "seventy-six million, five hundred forty-three thousand, four hundred eighty-eight".