76493400 has 144 divisors (see below), whose sum is σ = 248916360. Its totient is φ = 19430400.

The previous prime is 76493371. The next prime is 76493419. The reversal of 76493400 is 439467.

It is a super-5 number, since 5×76493400⁵ (a number of 41 digits) contains 55555 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 317280 + ... + 317520.

Almost surely, 2^76493400 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 76493400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124458180).

76493400 is an abundant number, since it is smaller than the sum of its proper divisors (172422960).

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

76493400 is a wasteful number, since it uses less digits than its factorization.

76493400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 76493400 is about 8746.0505372425. The cubic root of 76493400 is about 424.4970289789.

The spelling of 76493400 in words is "seventy-six million, four hundred ninety-three thousand, four hundred".