618878880 has 360 divisors, whose sum is σ = 2357062092. Its totient is φ = 152395776.

The previous prime is 618878861. The next prime is 618878891. The reversal of 618878880 is 88878816.

It can be written as a sum of positive squares in 6 ways, for example, as 486996624 + 131882256 = 22068^2 + 11484^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×618878880² = 766022136220108800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11676934 + ... + 11676986.

Almost surely, 2^618878880 is an apocalyptic number.

618878880 is a gapful number since it is divisible by the number (60) 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 618878880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178531046).

618878880 is an abundant number, since it is smaller than the sum of its proper divisors (1738183212).

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

618878880 is a wasteful number, since it uses less digits than its factorization.

618878880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 54.

The square root of 618878880 is about 24877.2763782533. The cubic root of 618878880 is about 852.1876198593.

The spelling of 618878880 in words is "six hundred eighteen million, eight hundred seventy-eight thousand, eight hundred eighty".