78753300 has 36 divisors (see below), whose sum is σ = 227860416. Its totient is φ = 21000800.

The previous prime is 78753277. The next prime is 78753307. The reversal of 78753300 is 335787.

It is a super-3 number, since 3×78753300³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78753307) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130956 + ... + 131555.

It is an arithmetic number, because the mean of its divisors is an integer number (6329456).

Almost surely, 2^78753300 is an apocalyptic number.

It is an amenable number.

78753300 is an abundant number, since it is smaller than the sum of its proper divisors (149107116).

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

78753300 is a wasteful number, since it uses less digits than its factorization.

78753300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262528 (or 262521 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 78753300 is about 8874.3056066376. The cubic root of 78753300 is about 428.6369312579.

It can be divided in two parts, 7875 and 3300, that added together give a triangular number (11175 = T₁₄₉).

The spelling of 78753300 in words is "seventy-eight million, seven hundred fifty-three thousand, three hundred".