2077745400 has 288 divisors, whose sum is σ = 7195968000. Its totient is φ = 537062400.

The previous prime is 2077745393. The next prime is 2077745401. The reversal of 2077745400 is 45477702.

It is a happy number.

2077745400 is a `hidden beast` number, since 207 + 7 + 7 + 45 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2077745401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13944526 + ... + 13944674.

It is an arithmetic number, because the mean of its divisors is an integer number (24986000).

Almost surely, 2^2077745400 is an apocalyptic number.

2077745400 is a gapful number since it is divisible by the number (20) 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 2077745400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3597984000).

2077745400 is an abundant number, since it is smaller than the sum of its proper divisors (5118222600).

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

2077745400 is a wasteful number, since it uses less digits than its factorization.

2077745400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 2077745400 is about 45582.2926145669. The cubic root of 2077745400 is about 1276.0394752645.

The spelling of 2077745400 in words is "two billion, seventy-seven million, seven hundred forty-five thousand, four hundred".