977920020 has 384 divisors, whose sum is σ = 3928780800. Its totient is φ = 195955200.

The previous prime is 977919989. The next prime is 977920039. The reversal of 977920020 is 20029779.

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 127 ways as a sum of consecutive naturals, for example, 1205415 + ... + 1206225.

It is an arithmetic number, because the mean of its divisors is an integer number (10231200).

Almost surely, 2^977920020 is an apocalyptic number.

977920020 is a gapful number since it is divisible by the number (90) 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 977920020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964390400).

977920020 is an abundant number, since it is smaller than the sum of its proper divisors (2950860780).

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

977920020 is a wasteful number, since it uses less digits than its factorization.

977920020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 977920020 is about 31271.7127768851. The cubic root of 977920020 is about 992.5851627439.

Adding to 977920020 its reverse (20029779), we get a palindrome (997949799).

The spelling of 977920020 in words is "nine hundred seventy-seven million, nine hundred twenty thousand, twenty".