77412000 has 96 divisors (see below), whose sum is σ = 253641024. Its totient is φ = 20640000.

The previous prime is 77411981. The next prime is 77412011. The reversal of 77412000 is 21477.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8775 + ... + 15225.

It is an arithmetic number, because the mean of its divisors is an integer number (2642094).

Almost surely, 2^77412000 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 77412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126820512).

77412000 is an abundant number, since it is smaller than the sum of its proper divisors (176229024).

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

77412000 is a wasteful number, since it uses less digits than its factorization.

77412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6479 (or 6461 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 77412000 is about 8798.4089470767. The cubic root of 77412000 is about 426.1895165052.

Adding to 77412000 its reverse (21477), we get a palindrome (77433477).

The spelling of 77412000 in words is "seventy-seven million, four hundred twelve thousand".