76466700 has 144 divisors (see below), whose sum is σ = 248872960. Its totient is φ = 20139840.

The previous prime is 76466699. The next prime is 76466701. The reversal of 76466700 is 766467.

76466700 is a `hidden beast` number, since 7 + 646 + 6 + 7 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (76466699) and next prime (76466701).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (76466701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342789 + ... + 343011.

Almost surely, 2^76466700 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 76466700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124436480).

76466700 is an abundant number, since it is smaller than the sum of its proper divisors (172406260).

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

76466700 is a wasteful number, since it uses less digits than its factorization.

76466700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 76466700 is about 8744.5240007676. The cubic root of 76466700 is about 424.4476330413.

The spelling of 76466700 in words is "seventy-six million, four hundred sixty-six thousand, seven hundred".