76508460 has 144 divisors (see below), whose sum is σ = 271881792. Its totient is φ = 17049600.

The previous prime is 76508437. The next prime is 76508461. The reversal of 76508460 is 6480567.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76508461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50920 + ... + 52400.

It is an arithmetic number, because the mean of its divisors is an integer number (1888068).

Almost surely, 2^76508460 is an apocalyptic number.

76508460 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76508460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135940896).

76508460 is an abundant number, since it is smaller than the sum of its proper divisors (195373332).

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

76508460 is a wasteful number, since it uses less digits than its factorization.

76508460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544 (or 1539 counting only the distinct ones).

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

The square root of 76508460 is about 8746.9114549080. The cubic root of 76508460 is about 424.5248854378.

It can be divided in two parts, 7650 and 8460, that added together give a triangular number (16110 = T₁₇₉).

The spelling of 76508460 in words is "seventy-six million, five hundred eight thousand, four hundred sixty".