76420800 has 336 divisors, whose sum is σ = 292912800. Its totient is φ = 19353600.

The previous prime is 76420787. The next prime is 76420807. The reversal of 76420800 is 802467.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (76420807) 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, 1252770 + ... + 1252830.

Almost surely, 2^76420800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146456400).

76420800 is an abundant number, since it is smaller than the sum of its proper divisors (216492000).

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

76420800 is a wasteful number, since it uses less digits than its factorization.

76420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 76420800 is about 8741.8991071735. The cubic root of 76420800 is about 424.3626895483.

The spelling of 76420800 in words is "seventy-six million, four hundred twenty thousand, eight hundred".