36778560 has 224 divisors, whose sum is σ = 144060672. Its totient is φ = 7741440.

The previous prime is 36778559. The next prime is 36778561. The reversal of 36778560 is 6587763.

It is an interprime number because it is at equal distance from previous prime (36778559) and next prime (36778561).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (36778561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87150 + ... + 87570.

It is an arithmetic number, because the mean of its divisors is an integer number (643128).

Almost surely, 2^36778560 is an apocalyptic number.

36778560 is a gapful number since it is divisible by the number (30) 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 36778560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72030336).

36778560 is an abundant number, since it is smaller than the sum of its proper divisors (107282112).

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

36778560 is a wasteful number, since it uses less digits than its factorization.

36778560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 36778560 is about 6064.5329581098. The cubic root of 36778560 is about 332.5560913154.

The spelling of 36778560 in words is "thirty-six million, seven hundred seventy-eight thousand, five hundred sixty".