400765680 has 240 divisors, whose sum is σ = 1552472064. Its totient is φ = 90754560.

The previous prime is 400765679. The next prime is 400765681. The reversal of 400765680 is 86567004.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (400765679) and next prime (400765681).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×400765680² = 321226260531724800, which contains 22 as substring.

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 (400765681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 659937 + ... + 660543.

Almost surely, 2^400765680 is an apocalyptic number.

400765680 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 400765680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776236032).

400765680 is an abundant number, since it is smaller than the sum of its proper divisors (1151706384).

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

400765680 is a wasteful number, since it uses less digits than its factorization.

400765680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 400765680 is about 20019.1328483528. The cubic root of 400765680 is about 737.2761316111.

The spelling of 400765680 in words is "four hundred million, seven hundred sixty-five thousand, six hundred eighty".