83777760 has 384 divisors, whose sum is σ = 335301120. Its totient is φ = 19353600.

The previous prime is 83777693. The next prime is 83777777. The reversal of 83777760 is 6777738.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1948299 + ... + 1948341.

It is an arithmetic number, because the mean of its divisors is an integer number (873180).

Almost surely, 2^83777760 is an apocalyptic number.

83777760 is a gapful number since it is divisible by the number (80) 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 83777760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167650560).

83777760 is an abundant number, since it is smaller than the sum of its proper divisors (251523360).

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

83777760 is a wasteful number, since it uses less digits than its factorization.

83777760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 45.

The square root of 83777760 is about 9153.0191740212. The cubic root of 83777760 is about 437.5653409891.

The spelling of 83777760 in words is "eighty-three million, seven hundred seventy-seven thousand, seven hundred sixty".