77250312 has 48 divisors (see below), whose sum is σ = 221530140. Its totient is φ = 24235008.

The previous prime is 77250301. The next prime is 77250319. The reversal of 77250312 is 21305277.

It can be written as a sum of positive squares in 2 ways, for example, as 76632516 + 617796 = 8754^2 + 786^2 .

It is a super-2 number, since 2×77250312² = 11935221408194688, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77250319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30333 + ... + 32780.

Almost surely, 2^77250312 is an apocalyptic number.

77250312 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

77250312 is an abundant number, since it is smaller than the sum of its proper divisors (144279828).

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

77250312 is a wasteful number, since it uses less digits than its factorization.

77250312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63142 (or 63135 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 77250312 is about 8789.2156646654. The cubic root of 77250312 is about 425.8925868181.

Adding to 77250312 its reverse (21305277), we get a palindrome (98555589).

The spelling of 77250312 in words is "seventy-seven million, two hundred fifty thousand, three hundred twelve".