83377980 has 72 divisors (see below), whose sum is σ = 289048032. Its totient is φ = 19057536.

The previous prime is 83377961. The next prime is 83377997. The reversal of 83377980 is 8977338.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 31827 + ... + 34346.

It is an arithmetic number, because the mean of its divisors is an integer number (4014556).

Almost surely, 2^83377980 is an apocalyptic number.

It is an amenable number.

83377980 is an abundant number, since it is smaller than the sum of its proper divisors (205670052).

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

83377980 is a wasteful number, since it uses less digits than its factorization.

83377980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66195 (or 66190 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 83377980 is about 9131.1543629489. The cubic root of 83377980 is about 436.8682233533.

The spelling of 83377980 in words is "eighty-three million, three hundred seventy-seven thousand, nine hundred eighty".