76772300 has 72 divisors (see below), whose sum is σ = 184488192. Its totient is φ = 27496000.

The previous prime is 76772287. The next prime is 76772317. The reversal of 76772300 is 327767.

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, 77609 + ... + 78591.

It is an arithmetic number, because the mean of its divisors is an integer number (2562336).

Almost surely, 2^76772300 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 76772300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92244096).

76772300 is an abundant number, since it is smaller than the sum of its proper divisors (107715892).

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

76772300 is a wasteful number, since it uses less digits than its factorization.

76772300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 32.

The square root of 76772300 is about 8761.9803697566. The cubic root of 76772300 is about 425.0123179821.

The spelling of 76772300 in words is "seventy-six million, seven hundred seventy-two thousand, three hundred".