77413000 has 64 divisors (see below), whose sum is σ = 207043200. Its totient is φ = 26539200.

The previous prime is 77412997. The next prime is 77413003. The reversal of 77413000 is 31477.

It is an interprime number because it is at equal distance from previous prime (77412997) and next prime (77413003).

It is not an unprimeable number, because it can be changed into a prime (77413003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1471 + ... + 12529.

It is an arithmetic number, because the mean of its divisors is an integer number (3235050).

Almost surely, 2^77413000 is an apocalyptic number.

77413000 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 77413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103521600).

77413000 is an abundant number, since it is smaller than the sum of its proper divisors (129630200).

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

77413000 is a wasteful number, since it uses less digits than its factorization.

77413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11087 (or 11073 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 22.

The square root of 77413000 is about 8798.4657753497. The cubic root of 77413000 is about 426.1913516543.

Adding to 77413000 its reverse (31477), we get a palindrome (77444477).

The spelling of 77413000 in words is "seventy-seven million, four hundred thirteen thousand".