77958072 has 64 divisors (see below), whose sum is σ = 217620000. Its totient is φ = 25857792.

The previous prime is 77958031. The next prime is 77958077. The reversal of 77958072 is 27085977.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77958077) 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 15 ways as a sum of consecutive naturals, for example, 49554 + ... + 51102.

Almost surely, 2^77958072 is an apocalyptic number.

77958072 is a gapful number since it is divisible by the number (72) 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 77958072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108810000).

77958072 is an abundant number, since it is smaller than the sum of its proper divisors (139661928).

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

77958072 is a wasteful number, since it uses less digits than its factorization.

77958072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The square root of 77958072 is about 8829.3868416782. The cubic root of 77958072 is about 427.1892971691.

The spelling of 77958072 in words is "seventy-seven million, nine hundred fifty-eight thousand, seventy-two".