77496720 has 160 divisors (see below), whose sum is σ = 277220352. Its totient is φ = 17542656.

The previous prime is 77496697. The next prime is 77496721. The reversal of 77496720 is 2769477.

It is a super-2 number, since 2×77496720² = 12011483221516800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (77496721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273699 + ... + 273981.

Almost surely, 2^77496720 is an apocalyptic number.

77496720 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 77496720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138610176).

77496720 is an abundant number, since it is smaller than the sum of its proper divisors (199723632).

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

77496720 is a wasteful number, since it uses less digits than its factorization.

77496720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 42.

The square root of 77496720 is about 8803.2221373767. Note that the first 3 decimals coincide. The cubic root of 77496720 is about 426.3449343217.

The spelling of 77496720 in words is "seventy-seven million, four hundred ninety-six thousand, seven hundred twenty".