76408500 has 192 divisors, whose sum is σ = 268369920. Its totient is φ = 16502400.

The previous prime is 76408499. The next prime is 76408513. The reversal of 76408500 is 580467.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 199309 + ... + 199691.

It is an arithmetic number, because the mean of its divisors is an integer number (1397760).

Almost surely, 2^76408500 is an apocalyptic number.

76408500 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 76408500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134184960).

76408500 is an abundant number, since it is smaller than the sum of its proper divisors (191961420).

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

76408500 is a wasteful number, since it uses less digits than its factorization.

76408500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 76408500 is about 8741.1955704011. The cubic root of 76408500 is about 424.3399211347.

Adding to 76408500 its reverse (580467), we get a palindrome (76988967).

The spelling of 76408500 in words is "seventy-six million, four hundred eight thousand, five hundred".