1041778800 has 120 divisors (see below), whose sum is σ = 3707999280. Its totient is φ = 277804800.

The previous prime is 1041778789. The next prime is 1041778807. The reversal of 1041778800 is 88771401.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (1041778807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37431 + ... + 59030.

It is an arithmetic number, because the mean of its divisors is an integer number (30899994).

Almost surely, 2^1041778800 is an apocalyptic number.

1041778800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1041778800 is an abundant number, since it is smaller than the sum of its proper divisors (2666220480).

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

1041778800 is a wasteful number, since it uses less digits than its factorization.

1041778800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96488 (or 96471 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 1041778800 is about 32276.5983337774. The cubic root of 1041778800 is about 1013.7367055616.

The spelling of 1041778800 in words is "one billion, forty-one million, seven hundred seventy-eight thousand, eight hundred".