77133840 has 160 divisors (see below), whose sum is σ = 279148800. Its totient is φ = 17611776.

The previous prime is 77133799. The next prime is 77133853. The reversal of 77133840 is 4833177.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81852 + ... + 82788.

It is an arithmetic number, because the mean of its divisors is an integer number (1744680).

Almost surely, 2^77133840 is an apocalyptic number.

77133840 is a gapful number since it is divisible by the number (70) 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 77133840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139574400).

77133840 is an abundant number, since it is smaller than the sum of its proper divisors (202014960).

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

77133840 is a wasteful number, since it uses less digits than its factorization.

77133840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 77133840 is about 8782.5873180971. The cubic root of 77133840 is about 425.6784366054.

The spelling of 77133840 in words is "seventy-seven million, one hundred thirty-three thousand, eight hundred forty".