977750400 has 384 divisors, whose sum is σ = 3606197760. Its totient is φ = 230809600.

The previous prime is 977750377. The next prime is 977750407. The reversal of 977750400 is 4057779.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (977750407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4963102 + ... + 4963298.

It is an arithmetic number, because the mean of its divisors is an integer number (9391140).

Almost surely, 2^977750400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 977750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803098880).

977750400 is an abundant number, since it is smaller than the sum of its proper divisors (2628447360).

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

977750400 is a wasteful number, since it uses less digits than its factorization.

977750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 39.

The square root of 977750400 is about 31269.0006236208. Note that the first 3 decimals coincide. The cubic root of 977750400 is about 992.5277715371.

Subtracting from 977750400 its sum of digits (39), we obtain a square (977750361 = 31269²).

The spelling of 977750400 in words is "nine hundred seventy-seven million, seven hundred fifty thousand, four hundred".