83077120 has 192 divisors, whose sum is σ = 243734400. Its totient is φ = 26542080.

The previous prime is 83077091. The next prime is 83077121. The reversal of 83077120 is 2177038.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (83077121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1361890 + ... + 1361950.

It is an arithmetic number, because the mean of its divisors is an integer number (1269450).

Almost surely, 2^83077120 is an apocalyptic number.

83077120 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 83077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121867200).

83077120 is an abundant number, since it is smaller than the sum of its proper divisors (160657280).

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

83077120 is a wasteful number, since it uses less digits than its factorization.

83077120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 83077120 is about 9114.6651062998. The cubic root of 83077120 is about 436.3421268859.

The spelling of 83077120 in words is "eighty-three million, seventy-seven thousand, one hundred twenty".