42799680 has 336 divisors, whose sum is σ = 184489344. Its totient is φ = 8847360.

The previous prime is 42799661. The next prime is 42799699. The reversal of 42799680 is 8699724.

42799680 = 855² + 856² + ... + 909².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42799661) and next prime (42799699).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221664 + ... + 221856.

Almost surely, 2^42799680 is an apocalyptic number.

42799680 is a gapful number since it is divisible by the number (40) 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 42799680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92244672).

42799680 is an abundant number, since it is smaller than the sum of its proper divisors (141689664).

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

42799680 is a wasteful number, since it uses less digits than its factorization.

42799680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 42799680 is about 6542.1464367591. The cubic root of 42799680 is about 349.7949274861.

The spelling of 42799680 in words is "forty-two million, seven hundred ninety-nine thousand, six hundred eighty".