76465200 has 120 divisors (see below), whose sum is σ = 279966208. Its totient is φ = 17475840.

The previous prime is 76465183. The next prime is 76465217. The reversal of 76465200 is 256467.

It is an interprime number because it is at equal distance from previous prime (76465183) and next prime (76465217).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×76465200² = 11693853622080000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) 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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3849 + ... + 12951.

Almost surely, 2^76465200 is an apocalyptic number.

76465200 is a gapful number since it is divisible by the number (70) 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 76465200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139983104).

76465200 is an abundant number, since it is smaller than the sum of its proper divisors (203501008).

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

76465200 is a wasteful number, since it uses less digits than its factorization.

76465200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9131 (or 9120 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 76465200 is about 8744.4382323852. The cubic root of 76465200 is about 424.4448576475. Note that the first 3 decimals are identical.

The spelling of 76465200 in words is "seventy-six million, four hundred sixty-five thousand, two hundred".