76340600 has 96 divisors (see below), whose sum is σ = 209510400. Its totient is φ = 25315200.

The previous prime is 76340587. The next prime is 76340603. The reversal of 76340600 is 604367.

It is a self number, because there is not a number n which added to its sum of digits gives 76340600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76340603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42521 + ... + 44279.

It is an arithmetic number, because the mean of its divisors is an integer number (2182400).

Almost surely, 2^76340600 is an apocalyptic number.

76340600 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 76340600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104755200).

76340600 is an abundant number, since it is smaller than the sum of its proper divisors (133169800).

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

76340600 is a wasteful number, since it uses less digits than its factorization.

76340600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 76340600 is about 8737.3107990960. The cubic root of 76340600 is about 424.2141880919.

Adding to 76340600 its reverse (604367), we get a palindrome (76944967).

The spelling of 76340600 in words is "seventy-six million, three hundred forty thousand, six hundred".