77883120 has 400 divisors, whose sum is σ = 330568128. Its totient is φ = 16588800.

The previous prime is 77883107. The next prime is 77883139. The reversal of 77883120 is 2138877.

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 79 ways as a sum of consecutive naturals, for example, 771070 + ... + 771170.

Almost surely, 2^77883120 is an apocalyptic number.

77883120 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 77883120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165284064).

77883120 is an abundant number, since it is smaller than the sum of its proper divisors (252685008).

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

77883120 is a wasteful number, since it uses less digits than its factorization.

77883120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 77883120 is about 8825.1413586412. The cubic root of 77883120 is about 427.0523476601.

The spelling of 77883120 in words is "seventy-seven million, eight hundred eighty-three thousand, one hundred twenty".