977821950 has 144 divisors (see below), whose sum is σ = 2840911920. Its totient is φ = 221921280.

The previous prime is 977821877. The next prime is 977821967. The reversal of 977821950 is 59128779.

977821950 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×977821950² = 1912271531803605000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 977821950.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1271166 + ... + 1271934.

It is an arithmetic number, because the mean of its divisors is an integer number (19728555).

Almost surely, 2^977821950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 977821950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420455960).

977821950 is an abundant number, since it is smaller than the sum of its proper divisors (1863089970).

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

977821950 is a wasteful number, since it uses less digits than its factorization.

977821950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 48.

The square root of 977821950 is about 31270.1447070524. The cubic root of 977821950 is about 992.5519814070.

The spelling of 977821950 in words is "nine hundred seventy-seven million, eight hundred twenty-one thousand, nine hundred fifty".