76866300 has 288 divisors, whose sum is σ = 291648000. Its totient is φ = 17357760.

The previous prime is 76866277. The next prime is 76866301. The reversal of 76866300 is 366867.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76866301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 926059 + ... + 926141.

Almost surely, 2^76866300 is an apocalyptic number.

76866300 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 76866300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145824000).

76866300 is an abundant number, since it is smaller than the sum of its proper divisors (214781700).

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

76866300 is a wasteful number, since it uses less digits than its factorization.

76866300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 76866300 is about 8767.3428129622. The cubic root of 76866300 is about 425.1857089211.

The spelling of 76866300 in words is "seventy-six million, eight hundred sixty-six thousand, three hundred".