77352880 has 120 divisors (see below), whose sum is σ = 202455792. Its totient is φ = 27456000.

The previous prime is 77352859. The next prime is 77352883. The reversal of 77352880 is 8825377.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (77352883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 590415 + ... + 590545.

Almost surely, 2^77352880 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 77352880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101227896).

77352880 is an abundant number, since it is smaller than the sum of its proper divisors (125102912).

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

77352880 is a wasteful number, since it uses less digits than its factorization.

77352880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The square root of 77352880 is about 8795.0486070288. The cubic root of 77352880 is about 426.0809943935.

The spelling of 77352880 in words is "seventy-seven million, three hundred fifty-two thousand, eight hundred eighty".