77101152 has 48 divisors (see below), whose sum is σ = 211196160. Its totient is φ = 24582272.

The previous prime is 77101127. The next prime is 77101153. The reversal of 77101152 is 25110177.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77101153) 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, 15252 + ... + 19667.

It is an arithmetic number, because the mean of its divisors is an integer number (4399920).

Almost surely, 2^77101152 is an apocalyptic number.

It is an amenable number.

77101152 is an abundant number, since it is smaller than the sum of its proper divisors (134095008).

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

77101152 is a wasteful number, since it uses less digits than its factorization.

77101152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34955 (or 34947 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 24.

The square root of 77101152 is about 8780.7261658703. The cubic root of 77101152 is about 425.6182963661.

The spelling of 77101152 in words is "seventy-seven million, one hundred one thousand, one hundred fifty-two".