77955072 has 128 divisors (see below), whose sum is σ = 227537520. Its totient is φ = 23592960.

The previous prime is 77955061. The next prime is 77955077. The reversal of 77955072 is 27055977.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77955077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1277922 + ... + 1277982.

Almost surely, 2^77955072 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 77955072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113768760).

77955072 is an abundant number, since it is smaller than the sum of its proper divisors (149582448).

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

77955072 is an equidigital number, since it uses as much as digits as its factorization.

77955072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 154350, while the sum is 42.

The square root of 77955072 is about 8829.2169528220. The cubic root of 77955072 is about 427.1838173673.

The spelling of 77955072 in words is "seventy-seven million, nine hundred fifty-five thousand, seventy-two".