677837940 has 288 divisors, whose sum is σ = 2264392704. Its totient is φ = 150405120.

The previous prime is 677837929. The next prime is 677837947. The reversal of 677837940 is 49738776.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677837947) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6987972 + ... + 6988068.

Almost surely, 2^677837940 is an apocalyptic number.

677837940 is a gapful number since it is divisible by the number (60) 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 677837940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132196352).

677837940 is an abundant number, since it is smaller than the sum of its proper divisors (1586554764).

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

677837940 is a wasteful number, since it uses less digits than its factorization.

677837940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 51.

The square root of 677837940 is about 26035.3210081996. The cubic root of 677837940 is about 878.4329636088.

The spelling of 677837940 in words is "six hundred seventy-seven million, eight hundred thirty-seven thousand, nine hundred forty".