279780049080 has 960 divisors, whose sum is σ = 1150267314240. Its totient is φ = 60699082752.

The previous prime is 279780049051. The next prime is 279780049093. The reversal of 279780049080 is 80940087972.

279780049080 is a `hidden beast` number, since 2 + 7 + 9 + 78 + 0 + 0 + 490 + 80 = 666.

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 704735442 + ... + 704735838.

It is an arithmetic number, because the mean of its divisors is an integer number (1198195119).

Almost surely, 2^279780049080 is an apocalyptic number.

279780049080 is a gapful number since it is divisible by the number (20) 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 279780049080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575133657120).

279780049080 is an abundant number, since it is smaller than the sum of its proper divisors (870487265160).

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

279780049080 is a wasteful number, since it uses less digits than its factorization.

279780049080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 279780049080 in words is "two hundred seventy-nine billion, seven hundred eighty million, forty-nine thousand, eighty".