61376800 has 72 divisors (see below), whose sum is σ = 158685156. Its totient is φ = 23101440.

The previous prime is 61376771. The next prime is 61376801. The reversal of 61376800 is 867316.

It can be written as a sum of positive squares in 6 ways, for example, as 9709456 + 51667344 = 3116^2 + 7188^2 .

It is a super-2 number, since 2×61376800² = 7534223156480000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61376801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11344 + ... + 15856.

Almost surely, 2^61376800 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 61376800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79342578).

61376800 is an abundant number, since it is smaller than the sum of its proper divisors (97308356).

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

61376800 is a wasteful number, since it uses less digits than its factorization.

61376800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4550 (or 4537 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 61376800 is about 7834.3346877702. The cubic root of 61376800 is about 394.4585863401.

It can be divided in two parts, 6137 and 6800, that multiplied together give a square (41731600 = 6460²).

The spelling of 61376800 in words is "sixty-one million, three hundred seventy-six thousand, eight hundred".