1009779400 has 96 divisors (see below), whose sum is σ = 2702952000. Its totient is φ = 343653120.

The previous prime is 1009779371. The next prime is 1009779439. The reversal of 1009779400 is 49779001.

It is a self number, because there is not a number n which added to its sum of digits gives 1009779400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192006 + ... + 197194.

It is an arithmetic number, because the mean of its divisors is an integer number (28155750).

Almost surely, 2^1009779400 is an apocalyptic number.

1009779400 is a gapful number since it is divisible by the number (10) 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 1009779400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351476000).

1009779400 is an abundant number, since it is smaller than the sum of its proper divisors (1693172600).

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

1009779400 is a wasteful number, since it uses less digits than its factorization.

1009779400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5351 (or 5342 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 37.

The square root of 1009779400 is about 31777.0262925907. The cubic root of 1009779400 is about 1003.2492310629.

The spelling of 1009779400 in words is "one billion, nine million, seven hundred seventy-nine thousand, four hundred".