77365152 has 96 divisors (see below), whose sum is σ = 227525760. Its totient is φ = 25574400.

The previous prime is 77365151. The next prime is 77365153. The reversal of 77365152 is 25156377.

It is an interprime number because it is at equal distance from previous prime (77365151) and next prime (77365153).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (77365151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130168 + ... + 130760.

It is an arithmetic number, because the mean of its divisors is an integer number (2370060).

Almost surely, 2^77365152 is an apocalyptic number.

77365152 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 77365152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113762880).

77365152 is an abundant number, since it is smaller than the sum of its proper divisors (150160608).

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

77365152 is a wasteful number, since it uses less digits than its factorization.

77365152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 749 counting only the distinct ones).

The product of its digits is 44100, while the sum is 36.

The square root of 77365152 is about 8795.7462446344. The cubic root of 77365152 is about 426.1035257221.

The spelling of 77365152 in words is "seventy-seven million, three hundred sixty-five thousand, one hundred fifty-two".