77150268 has 72 divisors (see below), whose sum is σ = 211066128. Its totient is φ = 23620608.

The previous prime is 77150231. The next prime is 77150287. The reversal of 77150268 is 86205177.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164971 + ... + 165437.

It is an arithmetic number, because the mean of its divisors is an integer number (2931474).

Almost surely, 2^77150268 is an apocalyptic number.

77150268 is a gapful number since it is divisible by the number (78) 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 77150268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105533064).

77150268 is an abundant number, since it is smaller than the sum of its proper divisors (133915860).

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

77150268 is a wasteful number, since it uses less digits than its factorization.

77150268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 77150268 is about 8783.5225280066. The cubic root of 77150268 is about 425.7086548553.

The spelling of 77150268 in words is "seventy-seven million, one hundred fifty thousand, two hundred sixty-eight".