76772000 has 96 divisors (see below), whose sum is σ = 199901520. Its totient is φ = 28876800.

The previous prime is 76771993. The next prime is 76772029. The reversal of 76772000 is 27767.

It can be written as a sum of positive squares in 8 ways, for example, as 524176 + 76247824 = 724^2 + 8732^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 67436 + ... + 68564.

Almost surely, 2^76772000 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 76772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99950760).

76772000 is an abundant number, since it is smaller than the sum of its proper divisors (123129520).

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

76772000 is a wasteful number, since it uses less digits than its factorization.

76772000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 29.

The square root of 76772000 is about 8761.9632503224. The cubic root of 76772000 is about 425.0117643802.

Adding to 76772000 its reverse (27767), we get a palindrome (76799767).

The spelling of 76772000 in words is "seventy-six million, seven hundred seventy-two thousand".