77345900 has 72 divisors (see below), whose sum is σ = 175770000. Its totient is φ = 29505280.

The previous prime is 77345867. The next prime is 77345923. The reversal of 77345900 is 954377.

77345900 = 458² + 459² + ... + 689².

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 432011 + ... + 432189.

It is an arithmetic number, because the mean of its divisors is an integer number (2441250).

Almost surely, 2^77345900 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 77345900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87885000).

77345900 is an abundant number, since it is smaller than the sum of its proper divisors (98424100).

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

77345900 is a wasteful number, since it uses less digits than its factorization.

77345900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 35.

The square root of 77345900 is about 8794.6517838968. The cubic root of 77345900 is about 426.0681780864.

The spelling of 77345900 in words is "seventy-seven million, three hundred forty-five thousand, nine hundred".