4087778400 has 360 divisors, whose sum is σ = 15029506800. Its totient is φ = 1081175040.

The previous prime is 4087778393. The next prime is 4087778411. The reversal of 4087778400 is 48777804.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12895042 + ... + 12895358.

It is an arithmetic number, because the mean of its divisors is an integer number (41748630).

Almost surely, 2^4087778400 is an apocalyptic number.

4087778400 is a gapful number since it is divisible by the number (40) 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 4087778400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7514753400).

4087778400 is an abundant number, since it is smaller than the sum of its proper divisors (10941728400).

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

4087778400 is a wasteful number, since it uses less digits than its factorization.

4087778400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The square root of 4087778400 is about 63935.7364859434. The cubic root of 4087778400 is about 1598.9287621076.

The spelling of 4087778400 in words is "four billion, eighty-seven million, seven hundred seventy-eight thousand, four hundred".