76006700 has 72 divisors (see below), whose sum is σ = 205653504. Its totient is φ = 23688000.

The previous prime is 76006663. The next prime is 76006739. The reversal of 76006700 is 760067.

It is a self number, because there is not a number n which added to its sum of digits gives 76006700.

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, 2765 + ... + 12635.

Almost surely, 2^76006700 is an apocalyptic number.

76006700 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 76006700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102826752).

76006700 is an abundant number, since it is smaller than the sum of its proper divisors (129646804).

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

76006700 is a wasteful number, since it uses less digits than its factorization.

76006700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9903 (or 9896 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 26.

The square root of 76006700 is about 8718.1821499668. The cubic root of 76006700 is about 423.5948054361.

Adding to 76006700 its reverse (760067), we get a palindrome (76766767).

Multiplying 76006700 by its reverse (760067), we get a square (57770184448900 = 7600670²).

76006700 divided by its reverse (760067) gives a square (100 = 10²).

The spelling of 76006700 in words is "seventy-six million, six thousand, seven hundred".